Juha Heinonen

Q: What Schools Are Affiliated With Juha Heinonen

Juha Heinonen is affiliated with the following schools: University of Michigan, University of Jyväskylä, Aalto University, University of Helsinki

Juha Heinonen's AcademicInfluence.com Rankings

Juha Heinonen

Mathematics

#5035

World Rank

#7115

Historical Rank

Measure Theory

#2875

World Rank

#3417

Historical Rank

mathematics Degrees

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Mathematics

Juha Heinonen's Degrees

PhD Mathematics University of Helsinki

Why Is Juha Heinonen Influential?

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According to Wikipedia, Juha Heinonen was a Finnish mathematician, known for his research on geometric function theory. Biography Heinonen, whose father was a lumberjack and local politician, grew up in a small town in central Finland. He studied mathematics at the University of Jyväskylä and received his doctorate there in 1987 with a thesis on nonlinear potential theory. His thesis advisor was Olli Martio. During the academic year 1987–1988 Heinonen was a visiting researcher at the Deutsche Forschunsgemeinschaft in Bonn and then at the Centre de Recerca Matemática in Barcelona. He first came to the University of Michigan as a visiting graduate student in 1985, and then came back as a three-year postdoctoral assistant professor from 1988 to 1991. In 1992 he was hired there as a tenure-track assistant professor, and spent the rest of his career there until his death from kidney cancer in 2007. He was promoted to full professor in 2000. He was the author or coauthor of three books and over 60 research articles.

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Juha Heinonen'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

Nonlinear Potential Theory of Degenerate Elliptic Equations (1993) (2082)
Lectures on Analysis on Metric Spaces (2000) (1261)
Quasiconformal maps in metric spaces with controlled geometry (1998) (923)
Sobolev Spaces on Metric Measure Spaces: An Approach Based on Upper Gradients (2015) (359)
Uniformizing Gromov hyperbolic spaces (2001) (253)
Lectures on Lipschitz analysis (2005) (193)
Sobolev classes of Banach space-valued functions and quasiconformal mappings (2001) (189)
Definitions of quasiconformality (1995) (161)
NONSMOOTH CALCULUS (2005) (142)
Quasiregular maps on Carnot groups (1997) (107)
Sobolev mappings with integrable dilatations (1993) (94)
Geometric embeddings of metric spaces (2003) (90)
Geometric branched covers between generalized manifolds (2002) (78)
From local to global in quasiconformal structures. (1996) (78)
Thirty-three yes or no questions about mappings, measures, and metrics (1997) (71)
Weighted Sobolev and Poincaré Inequalities and Quasiregular Mappings of Polynomial Type. (1995) (56)
A-superharmonic functions and supersolutions of degenerate elliptic equations (1988) (48)
POINCARE INEQUALITIES (2015) (44)
Doubling conformal densities (2001) (44)
Smooth quasiregular mappings with branching (2004) (43)
Quasilines and conformal mappings (1981) (41)
Quasiconformal Mappings Onto John Domains (1989) (41)
On the locally branched Euclidean metric gauge (2002) (40)
The quasiconformal Jacobian problem (2006) (38)
Quasiregular maps S3 → S3 with wild branch sets (1998) (38)
The Gehring–Hayman inequality for quasihyperbolic geodesics (1993) (35)
Logarithmic potentials, quasiconformal flows, and $Q$-curvature (2008) (33)
Flat forms, bi-Lipschitz parametrizations, and smoothability of manifolds (2009) (31)
Quasiregular mapping and cohomology (2001) (28)
On the Wiener criterion and quasilinear obstacle problems (1988) (24)
Polar sets for supersolutions of degenerate elliptic equations. (1988) (24)
An n-dimensional space that admits a Poincare inequality but has no manifold points (2000) (22)
Harmonic morphisms in nonlinear potential theory (1992) (21)
BLD-mappings in $W^{2,2}$ are locally invertible (2000) (21)
Quasiconformal distortion on arcs (1994) (21)
The branch set of a quasiregular mapping (2003) (21)
Quasisymmetric nonparametrization and spaces associated with the Whitehead continuum (2010) (18)
Fine topology and quasilinear elliptic equations (1989) (17)
LINEAR DILATATION AND DIFFERENTIABILITY OF HOMEOMORPHISMS OF R (2012) (13)
Connectedness in fine topologies (1990) (12)
SCALING INVARIANT SOBOLEV-LORENTZ CAPACITY ON R (2006) (12)
Strong A∞-weights and scaling invariant Besov capacities (2008) (12)
A Quasiconformal Mapping? (2006) (12)
The Minimal Entropy Conjecture for Nonuniform Rank One Lattices (2009) (11)
The boundary absolute continuity of quasiconformal mappings II (1996) (9)
Quasiconformal mappings with Sobolev boundary values (2002) (8)
STRONGLY UNIFORM DOMAINS AND PERIODIC QUASICONFORMAL MAPS (2008) (8)
Asymptotic Values of Subharmonic Functions (1996) (8)
A∞-condition for the Jacobian of a quasi-conformal mapping (1994) (8)
Quasiconformal Mappings and Analysis (2012) (8)
The Boundary Absolute Continuity of Quasiconformal Mappings (1994) (7)
NORMS ON EARTHQUAKE MEASURES AND ZYGMUND FUNCTIONS (2004) (7)
Aoo-CONDITION FOR THE JACOBIAN OF A QUASICONFORMAL MAPPING (2010) (6)
The boundary distortion of a quasiconformal mapping. (1994) (6)
On quasiconformal rigidity in space and plane (1988) (5)
ON A GENERALIZED CORONA PROBLEM ON THE UNIT DISC (2004) (5)
ON INEQUALITIES FOR ZEROS OF ENTIRE FUNCTIONS (2004) (5)
Quasiconformal Frames (2010) (4)
Boundary accessibility and elliptic harmonic measures (1988) (4)
Lindelöf's theorem for normal quasimeromorphic mappings. (1990) (3)
Quasiconformal maps between compact polyhedra are quasisymmetric (1996) (3)
A theorem of Semmes and the boundary absolute continuity in all dimensions (1996) (3)
The Mathematics of F.W. Gehring (1998) (2)
Sobolev Spaces on Metric Spaces (2001) (2)
Modelling conservation conflicts (2015) (2)
Sobolev Spaces on Metric Measure Spaces: Consequences of Poincaré inequalities (2015) (2)
Remarks on the value distribution of quasimeromorphic mappings (1993) (2)
Koenigs functions, quasicircles and BMO (1995) (1)
The diameter conjecture for quasiconformal maps is true in space (1995) (1)
Asymptotic paths for subsolutions of quasilinear elliptic equations (1988) (1)
METRIC CURRENTS AND DIFFERENTIABLE STRUCTURES (2010) (1)
Foamed insulation for telecom wires (1991) (0)
Ph.D. Students of F.W. Gehring (1998) (0)
Quasi-hyperbolic Planes in Hyperbolic Groups (2008) (0)
Review of basic functional analysis (2015) (0)
Examples, applications, and further research directions (2015) (0)
An introduction to Cheeger's differentiation theory (2015) (0)
Modulus of a Curve Family, Capacity, and Upper Gradients (2001) (0)
QUASICONFORMAL MAPPINGS WHICHINCREASE (1999) (0)
F.W. Gehring: A Biographical Sketch (1998) (0)
Self-improvement of Poincaré inequalities (2015) (0)
Loewner Spaces and Poincaré Inequalities (2001) (0)
Best uniform approximation by 𝔎-superharmonic functions (1992) (0)
curves on general spaces through quantitative topology, with applications to Sobolev and Poincar´e inequalities. (2007) (0)
Gromov–Hausdorff convergence and Poincaré inequalities (2015) (0)
Existence of Doubling Measures (2001) (0)
Quasisymmetric Maps: Basic Theory I (2001) (0)
Simulation and optimization of nanostructured silicon photodiode (2016) (0)
Nonlinear elliptic measures (1988) (0)
Sobolev Spaces on Metric Measure Spaces: Lebesgue theory of Banach space-valued functions (2015) (0)
Lipschitz functions and embeddings (2015) (0)
Quasisymmetric Embeddings of Metric Spaces in Euclidean Space (2001) (0)
HARMONIC BERGMAN FUNCTIONS AS RADIAL DERIVATIVES OF BERGMAN FUNCTIONS (2002) (0)
A STRONG LEBESGUE POINT PROPERTY FOR SOBOLEV FUNCTIONS (2004) (0)
Modelling of human eye exposure to millimetre waves (2016) (0)
Doubling Measures and Quasisymmetric Maps (2001) (0)
Simulation of Microfabricated Linear Ion Trap (2013) (0)
Other definitions of Sobolev-type spaces (2015) (0)
SMOOTH QUASIREGULAR MAPPINGS WITH BRANCHING by MARIO BONK (2004) (0)
Path integrals and modulus (2015) (0)
Publications of F.W. Gehring (1998) (0)

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Other Resources About Juha Heinonen

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What Schools Are Affiliated With Juha Heinonen?

Juha Heinonen is affiliated with the following schools:

Juha Heinonen's Academic­Influence.com Rankings