Pekka Koskela

Q: What Schools Are Affiliated With Pekka Koskela

Pekka Koskela is affiliated with the following schools: University of Minnesota, University of Michigan, University of Jyväskylä, Aalto University, University of Helsinki

Pekka Koskela's AcademicInfluence.com Rankings

Pekka Koskela

Mathematics

#7503

World Rank

#10192

Historical Rank

Measure Theory

#2227

World Rank

#2676

Historical Rank

mathematics Degrees

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Mathematics

Pekka Koskela's Degrees

PhD Mathematics University of Helsinki
Masters Mathematics University of Helsinki

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Pekka Koskela's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Sobolev met Poincaré (2000) (1023)
Quasiconformal maps in metric spaces with controlled geometry (1998) (923)
Sobolev Spaces on Metric Measure Spaces: An Approach Based on Upper Gradients (2015) (359)
GEOMETRIC FUNCTION THEORY AND NON-LINEAR ANALYSIS (Oxford Mathematical Monographs) By TADEUSZ IWANIEC and GAVEN MARTIN: 552 pp., £75.00, ISBN 0-19-85029-4 (Oxford University Press, 2001) (2002) (256)
Uniformizing Gromov hyperbolic spaces (2001) (253)
Mappings of finite distortion: Monotonicity and continuity (2001) (230)
Sobolev meets Poincaré (1995) (204)
Sobolev classes of Banach space-valued functions and quasiconformal mappings (2001) (189)
Lectures on Mappings of Finite Distortion (2014) (181)
DEFINITIONS OF SOBOLEV CLASSES ON METRIC SPACES (1999) (172)
Definitions of quasiconformality (1995) (161)
Regularity of the Inverse of a Planar Sobolev Homeomorphism (2006) (144)
Pointwise Characterizations of Besov and Triebel-Lizorkin Spaces and Quasiconformal Mappings (2010) (128)
Sobolev embeddings, extensions and measure density condition (2008) (127)
Quasiconformal mappings and Sobolev spaces (1998) (122)
On functions with derivatives in a Lorentz space (1999) (113)
Mappings of finite distortion: condition N (2001) (109)
Isoperimetric Inequalities and Imbedding Theorems in Irregular Domains (1998) (107)
Sobolev-Poincaré implies John (1995) (104)
Mappings of BMO–bounded distortion (2000) (102)
Hausdorff Dimension and mean porosity (1997) (99)
Global integrability of the gradients of solutions to partial differential equations (1994) (98)
Sobolev mappings with integrable dilatations (1993) (94)
Mappings of finite distortion: Capacity and modulus inequalities (2006) (94)
Pointwise characterizations of Hardy-Sobolev functions (2006) (90)
Interpolation properties of Besov spaces defined on metric spaces (2010) (90)
Mappings of Finite Distortion:¶Discreteness and Openness (2001) (86)
Mappings of finite distortion: The zero set of the Jacobian (2003) (85)
Regularity of the inverse of a Sobolev homeomorphism in space (2006) (80)
Characterizations of Besov and Triebel–Lizorkin spaces on metric measure spaces (2011) (80)
From local to global in quasiconformal structures. (1996) (78)
Mappings of finite distortion: Sharp Orlicz-conditions (2003) (78)
Removable sets for Sobolev spaces (1999) (66)
Lipschitz continuity of Cheeger-harmonic functions in metric measure spaces☆ (2003) (65)
Geometry and Analysis of Dirichlet forms (2012) (65)
Fractional integration, differentiation, and weighted Bergman spaces (1999) (64)
Measure density and extendability of Sobolev functions (2008) (60)
Regularity theory and traces of -harmonic functions (1996) (59)
A characterization of Hajłasz–Sobolev and Triebel–Lizorkin spaces via grand Littlewood–Paley functions☆ (2009) (58)
Weighted Sobolev and Poincaré Inequalities and Quasiregular Mappings of Polynomial Type. (1995) (56)
Mappings ofBMO-distortion and beltrami-type operators (2002) (56)
Boman equals John (1996) (55)
Hardy’s inequality and the boundary size (2002) (52)
Quasiextremal distance domains and conformal mappings onto circle domains (1990) (46)
A note on extremal mappings of finite distortion (2005) (46)
Quasiconformal mappings and global integrability of the derivative (1991) (46)
Conformal Metrics on the Unit Ball in Euclidean Space (1998) (45)
Absolute Continuity of Quasiconformal Mappings on Curves (2007) (44)
Homeomorphisms of Bounded Variation (2007) (44)
Mappings of finite distortion: The sharp modulus of continuity (2003) (44)
POINCARE INEQUALITIES (2015) (44)
Extensions and Imbeddings (1998) (44)
Uniform, Sobolev extension and quasiconformal circle domains (1991) (43)
Mappings of finite distortion: Compactness. (2002) (43)
Criteria for imbeddings of Sobolev-Poincaré type (1996) (40)
Mappings of finite distortion: the degree of regularity (2005) (40)
Dirichlet Forms, Poincaré Inequalities, and the Sobolev Spaces of Korevaar and Schoen (2004) (39)
Quasihyperbolic boundary conditions and Poincaré domains (2002) (38)
Mappings of Finite Distortion: Ln logα L‐Integrability (2003) (37)
Weighted pointwise Hardy inequalities (2009) (37)
Quasihyperbolic boundary conditions and capacity: Hölder continuity of quasiconformal mappings (2001) (36)
Lectures on quasiconformal and quasisymmetric mappings (2009) (36)
Mappings of finite distortion: gauge dimension of generalized quasicircles (2003) (35)
Orlicz-Hardy inequalities (2004) (35)
Bounded compositions on scaling invariant Besov spaces (2012) (34)
Sobolev-type spaces from generalized Poincaré inequalities (2007) (33)
Volume growth and parabolicity (2001) (32)
Gradient estimates for heat kernels and harmonic functions (2017) (31)
Mappings of finite distortion: Removable singularities (2003) (30)
QUASICONFORMALITY, QUASISYMMETRY, AND REMOVABILITY IN LOEWNER SPACES (2000) (30)
Removable sets for the poincare inequality on metric spaces (2000) (28)
Mappings of finite distortion: Formation of cusps III (2007) (26)
Subelliptic Poincaré inequalities: the case p < 1 (1995) (25)
Exceptional sets for the definition of quasiconformality (2000) (25)
Generalized quasidisks and conformality (2014) (25)
A geometric characterization of planar Sobolev extension domains (2015) (24)
Mappings of finite distortion: formation of cusps (2007) (24)
Geometry and analysis of Dirichlet forms (II) (2014) (24)
Approximation and quasicontinuity of Besov and Triebel–Lizorkin functions (2015) (24)
Old and New on the Quasihyperbolic Metric (1998) (23)
Mappings of finite distortion: Injectivity radius of a local homeomorphism (2002) (23)
Mappings of finite distortion: discreteness and openness for quasi-light mappings (2005) (22)
A quasiconformal composition problem for the Q-spaces (2016) (22)
Sobolev-Poincaré inequalities for p < 1 (1994) (22)
Ends of metric measure spaces and Sobolev inequalities (2006) (22)
Conformal capacity and the quasihyperbolic metric (1996) (20)
Uniform and Sobolev extension domains (1992) (20)
MAPPINGS OF FINITE DISTORTION : COMPOSITION OPERATOR (2008) (18)
Quasiconformal removability and the quasihyperbolic metric (2005) (18)
Isoperimetric inequality via Lipschitz regularity of Cheeger-harmonic functions (2014) (18)
Removable singularities for analytic functions. (1993) (17)
Traces of weighted function spaces: Dyadic norms and Whitney extensions (2017) (17)
Geometric Properties of Planar BV -Extension Domains (2010) (16)
Removability theorems for solutions of degenerate elliptic partial differential equations (1993) (16)
The degree of regularity of a quasiconformal mapping (1994) (16)
Mappings of Finite Distortion: Generalized Hausdorff Dimension Distortion (2010) (16)
Generalized John disks (2014) (15)
Hölder continuity of Sobolev functions and quasiconformal mappings (1993) (15)
Quasiconformality, quasisymmetry, and removability in Loewner spaces. Appendice par Jussi Väisälä (2000) (15)
Quasi-Nearly Subharmonic Functions and Quasiconformal Mappings (2011) (15)
Composition of quasiconformal mappings and functions in Triebel‐Lizorkin spaces (2013) (14)
Removability theorems for quasiregular mappings (1990) (14)
New Poincaré inequalities from old. (1998) (13)
Gromov hyperbolicity and quasihyperbolic geodesics (2012) (13)
A note to “Mappings of finite distortion: formation of cusps II” (2010) (13)
SOBOLEV-POINCARÉ IMPLIES (2004) (13)
Luzin’s condition (N) and Sobolev mappings (2012) (13)
Intrinsic Geometry and Analysis of Diffusion Processes and L∞-Variational Problems (2014) (13)
Conformal metrics and size of the boundary (2002) (12)
A Density Problem for Sobolev Spaces on Planar Domains (2015) (12)
Solvability of the divergence equation implies John via Poincar\'e inequality (2013) (12)
Luzin's condition (N) and modulus of continuity (2013) (12)
Morrey–Sobolev Extension Domains (2017) (12)
Suucient Conditions for Change of Variables in Integral (2000) (12)
A density problem for Sobolev spaces on Gromov hyperbolic domains (2016) (11)
Continuity of Sobolev Functions and Dirichletg Finite Harmonic Measures (1997) (11)
Linear dilatation and absolute continuity (2005) (11)
Quasihyperbolic boundary conditions and capacity: Uniform continuity of quasiconformal mappings (2005) (11)
Gehring–Hayman Theorem for conformal deformations (2013) (10)
Dimension gap under conformal mappings (2012) (10)
Geometric Interpretations of LP-Poincaré Inequalities on Graphs with Polynomial Volume Growth (2004) (10)
Mappings of finite distortion: Reverse inequalities for the Jacobian (2007) (10)
$L^∞$-variational problem associated to Dirichlet forms (2012) (10)
Isoperimetric inequality from the poisson equation via curvature (2012) (10)
Generalized dimension distortion under planar Sobolev homeomorphisms (2009) (10)
A JORDAN SOBOLEV EXTENSION DOMAIN (2010) (9)
Nonexistence of quasiconformal maps between certain metric measure spaces (2013) (9)
Mappings of Finite Distortion: Decay of the Jacobian (2012) (9)
Trace and Density Results on Regular Trees (2019) (9)
H p -theory for Quasiconformal Mappings (2011) (9)
Dyadic Norm Besov-Type Spaces as Trace Spaces on Regular Trees (2019) (8)
A∞-condition for the Jacobian of a quasi-conformal mapping (1994) (8)
Mappings of Finite Distortion: Decay of the Jacobian (2011) (8)
Homeomorphisms of finite distortion: discrete length of radial images (2008) (8)
LOCALLY UNIFORM DOMAINS AND QUASICONFORMAL MAPPINGS (2007) (8)
Continuity of solutions to n-harmonic equations (2012) (7)
Metric definition of μ-homeomorphisms (2003) (7)
Analytic Properties of Quasiconformal Mappings Between Metric Spaces (2012) (7)
Ahlfors reflection theorem for $p$-morphisms. (2019) (6)
Energy-efficient solutions for wireless sensor networks (2018) (6)
The boundary distortion of a quasiconformal mapping. (1994) (6)
Boundary blow-up under Sobolev mappings (2013) (6)
Sobolev Spaces and Quasiconformal Mappings on Metric Spaces (2001) (6)
Generalized dimension estimates for images of porous sets under monotone Sobolev mappings (2014) (6)
Normal solutions of elliptic equations (1996) (6)
Uniform continuity of quasiconformal mappings and conformal deformations (2008) (6)
Radial growth of solutions to the poisson equation (2001) (6)
Trace Operators on Regular Trees (2020) (6)
INTEGRAL REPRESENTATIONS AND EMBEDDING THEOREMS FOR FUNCTIONS DEFINED ON THE HEISENBERG GROUPS H n (2005) (6)
Orlicz–Sobolev regularity of mappings with subexponentially integrable distortion (2009) (6)
WWI Ambient Networks (2007) (6)
A Radial Uniqueness Theorem for Sobolev Functions (1995) (5)
Sharp inequalities via truncation (2003) (5)
Formation of cracks under deformations with finite energy (2004) (5)
REGULARITY OF THE INVERSE OF A PLANAR (2004) (5)
Lebesgue points via the Poincaré inequality (2014) (5)
Dimension gap under Sobolev mappings (2015) (5)
Lattice property of p -admissible weights (2015) (5)
HARMONIC HARDY-ORLICZ SPACES (2013) (4)
C A ] 1 1 Se p 20 09 A Characterization of Haj lasz-Sobolev and Triebel-Lizorkin Spaces via Grand Littlewood-Paley Functions (2009) (4)
Controlled diffeomorphic extension of homeomorphisms (2018) (4)
Exceptional Sets for Quasiconformal Mappings in General Metric Spaces (2008) (4)
Capacities and Hausdorff measures on metric spaces (2014) (4)
Boundary behavior of quasi-regular maps and the isodiametric profile (2001) (4)
The volume of the boundary of a Sobolev (p,q)-extension domain (2020) (4)
Sobolev homeomorphic extensions onto John domains (2020) (4)
Simple wake-up radio prototype (2010) (3)
Wake-up radio implementation for internet of things (2016) (3)
The radial behavior of a quasiconformal mapping (1994) (3)
Sharpness of uniform continuity of quasiconformal mappings onto s-John domains (2014) (3)
Regularity and modulus of continuity of space-filling curves (2019) (3)
Accessible Parts of Boundary for Simply Connected Domains (2017) (3)
Pathwise Connectivity of a Conformal Boundary (2003) (3)
Product of extension domains is still an extension domain (2018) (3)
Existence and uniqueness of limits at infinity for homogeneous Sobolev functions (2022) (3)
Distributional Inequalities for Non-harmonic Functions (2003) (3)
Quasihyperbolic growth conditions and compact embeddings of Sobolev spaces (2007) (2)
Regularity of the Inverse of a Sobolev Homeomorphism (2011) (2)
ON THE FUSION PROBLEM FOR DEGENERATE ELLIPTIC EQUATIONS (1995) (2)
A non-doubling Trudinger inequality (2005) (2)
Pointwise Inequalities for Sobolev Functions on Outward Cuspidal Domains (2019) (2)
Energy efficient MAC for wireless sensor networks (2010) (2)
Sobolev Spaces on Metric Measure Spaces: Consequences of Poincaré inequalities (2015) (2)
HAJ LASZ–SOBOLEV EXTENSION AND IMBEDDING (2010) (2)
Planar Mappings of Finite Distortion (2011) (2)
Sobolev extension via reflections. (2018) (2)
Intrinsic Hardy–Orlicz spaces of conformal mappings (2014) (2)
Intrinsic Geometry and Analysis of Diffusion Processes and L∞-Variational Problems (2014) (2)
Constrained Application Protocol Profile for Robust Header Compression Framework (2015) (2)
On doubling measures (2013) (2)
Poincaré inequalities and Steiner symmetrization (1996) (2)
Condition monitoring of a process filter applying wireless vibration analysis (2011) (1)
- VARIATIONAL PROBLEM ASSOCIATED TO DIRICHLET FORMS (2013) (1)
Weighted Hardy Spaces of Quasiconformal Mappings (2019) (1)
Sobolev Extensions Via Reflections (2022) (1)
Robust header compression for constrained application protocol (2014) (1)
Packet header compression for the internet of things (2016) (1)
Characterizations of generalized John domains in $\mathbb{R}^n$ via metric duality (2017) (1)
Metric Sobolev spaces (2003) (1)
Poincaré domains and quasiconformal mappings (1995) (1)
On Limits at Infinity of Weighted Sobolev Functions (2022) (1)
Traces of weighted function spaces: Dyadic norms and Whitney extensions (2017) (0)
Quasi-Nearly Subharmonic Functions and Quasiconformal Mappings (2011) (0)
Morrey–Sobolev Extension Domains (2016) (0)
POINCARI~ DOMAINS AND QUASICONFORMAL MAPPINGS t) (1995) (0)
Sobolev meets Poincark (2006) (0)
Continuity of solutions to n-harmonic equations (2011) (0)
Sobolev Spaces on Metric Measure Spaces: Lebesgue theory of Banach space-valued functions (2015) (0)
An introduction to Cheeger's differentiation theory (2015) (0)
Examples, applications, and further research directions (2015) (0)
Boman equals (0)
Lipschitz functions and embeddings (2015) (0)
Regularity and modulus of continuity of space-filling curves (2019) (0)
Higher integrability and the boundary dimension (1991) (0)
The extension property for domains with one singular point (2021) (0)
REMOVABITITY THEOREMS FOR QUASIREGUTAR MAPPINGS (0)
Review of basic functional analysis (2015) (0)
Energy-efficient solutions for wireless sensor networks: Dissertation (2018) (0)
Openness and Discreteness (2014) (0)
Self-improvement of Poincaré inequalities (2015) (0)
Images and Preimages of Null Sets (2014) (0)
Errata to: Exceptional Sets for Quasiconformal Mappings in General Metric Spaces (2010) (0)
2 O ct 2 01 7 Gradient estimates for heat kernels and harmonic functions (2018) (0)
Autoconfigurative Radio Networks (AuRa) (2007) (0)
Gromov–Hausdorff convergence and Poincaré inequalities (2015) (0)
Capacities and Hausdorff measures on metric spaces (2015) (0)
Examples of harmonic Hardy-Orlicz spaces on the plane with finitely many punctures (Potential Theory and its Related Fields) (2013) (0)
Intrinsic Geometry and Analysis of Diffusion Processes and $L^\infty$-Variational Problems (2013) (0)
A Density Problem for Sobolev Spaces on Planar Domains (2016) (0)
Path integrals and modulus (2015) (0)
Integrability of J f and 1∕ J f (2014) (0)
Lebesgue points via the Poincaré inequality (2015) (0)
Homeomorphisms of Finite Distortion (2014) (0)
Other definitions of Sobolev-type spaces (2015) (0)
RECURSIVE SET CONSTRUCTIONS AND ITERATED FUNCTION SYSTEMS: SEPARATION CONDITIONS AND DIMENSION (2010) (0)

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What Schools Are Affiliated With Pekka Koskela?

Pekka Koskela is affiliated with the following schools: