Kari Astala

Q: What Schools Are Affiliated With Kari Astala

Kari Astala is affiliated with the following schools: University of Jyväskylä, University of Helsinki

Kari Astala's AcademicInfluence.com Rankings

Kari Astala

Mathematics

#7598

World Rank

#10300

Historical Rank

Geometry

#237

World Rank

#328

Historical Rank

Measure Theory

#3854

World Rank

#4542

Historical Rank

mathematics Degrees

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Mathematics

Kari Astala's Degrees

PhD Mathematics University of Helsinki

Why Is Kari Astala Influential?

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According to Wikipedia, Kari Astala is a Finnish mathematician, specializing in analysis. Astala graduated from the University of Helsinki with M.Sc. in 1977 and received his doctorate there in 1980 with thesis On Measures of compactness and ideal variations in Banach spaces. In the 1980s and 1990s he held academic appointments at the University of Helsinki and the Academy of Finland. He was a full professor at the University of Jyväskylä from 1995 to 2002, a full professor at the University of Helsinki from 2002 to 2017, and an Academy Professor from 2006 to 2011 at the Academy of Finland. Since 2017 he is an adjunct professor at Aalto University.

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Kari Astala'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

Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane (Pms-48) (2009) (714)
Calderon's inverse conductivity problem in the plane (2006) (586)
Beltrami operators in the plane (2001) (153)
Area distortion of quasiconformal mappings (1994) (152)
Extremal Mappings of Finite Distortion (2005) (125)
Teichmüller spaces and BMOA (1991) (113)
Mappings of BMO–bounded distortion (2000) (102)
Deformations of Annuli with Smallest Mean Distortion (2010) (90)
Random conformal weldings (2009) (86)
Injectivity, the BMO norm and the universal Teichmüller space (1986) (77)
Seminorms related to weak compactness and to Tauberian operators (1990) (72)
Quasiconformal analogues of theorems of Koebe and Hardy-Littlewood. (1985) (64)
Convex integration and the L p theory of elliptic equations. (2004) (63)
Numerical computation of complex geometrical optics solutions to the conductivity equation (2010) (48)
Quasiconformal mappings and global integrability of the derivative (1991) (46)
Burkholder integrals, Morrey's problem and quasiconformal mappings (2010) (43)
A remark on quasiconformal mappings and BMO-functions. (1983) (37)
A boundary integral equation for Calderón's inverse conductivity problem (2006) (36)
Composites and quasiconformal mappings: new optimal bounds in two dimensions (2003) (36)
Direct electrical impedance tomography for nonsmooth conductivities (2011) (35)
Bilipschitz and quasiconformal rotation, stretching and multifractal spectra (2013) (31)
Optimal regularity for planar mappings of finite distortion (2008) (28)
Quasiregular mappings and Young measures (2002) (27)
Holomorphic Motions (2003) (26)
Pucci's conjecture and the Alexandrov inequality for elliptic PDEs in the plane (2006) (26)
On the bounded compact approximation property and measures of noncompactness (1987) (26)
Analytic aspects of quasiconformality. (1998) (25)
Random Curves by Conformal Welding (2009) (22)
The borderlines of invisibility and visibility in Calderón’s inverse problem (2011) (21)
On Peano's theorem in locally convex spaces (1982) (20)
Injectivity, the BMO norm and the universal Teichmüller space (1986) (20)
Holomorphic families of quasi-Fuchsian groups (1994) (19)
Asymptotic Variance of the Beurling Transform (2015) (19)
Chord-arc curves and the Beurling transform (2015) (19)
The finite Hilbert transform in weighted spaces (1996) (16)
Distortion of Hausdorff measures and improved Painlevé removability for quasiregular mappings (2006) (16)
Distortion of area and dimension under quasiconformal mappings in the plane. (1993) (16)
On Pavlovic’s Theorem in Space (2014) (15)
Dimer Models and Conformal Structures. (2020) (14)
Nonlinear Fourier analysis for discontinuous conductivities: Computational results (2013) (14)
On Quasiconformal Mappings and 2‐Dimensional GClosure Problems (1998) (13)
Nonlinear Beltrami operators, Schauder estimates and bounds for the Jacobian (2015) (13)
Planar Quasiconformal Mappings; Deformations and Interactions (1998) (13)
Calderón's Problem for Lipschitz Classes and the Dimension of Quasicircles. (1988) (13)
Crickets, zippers and the Bers universal Teichmüller space (1990) (11)
Unbounded potential recovery in the plane (2016) (11)
HOMEOMORPHIC SOLUTIONS TO REDUCED BELTRAMI EQUATIONS (2008) (10)
H p -theory for Quasiconformal Mappings (2011) (9)
Injectivity criteria and the quasidisk (1984) (9)
Quasiconformal mappings with Sobolev boundary values (2002) (8)
Lipschitz classes and the Hardy-Littlewood property (1993) (8)
On Plancherel's identity for a two-dimensional scattering transform (2015) (6)
ABELIAN COVERINGS , POINCARÉ EXPONENT OF CONVERGENCE AND HOLOMORPHIC DEFORMATIONS (2008) (6)
Uniqueness of Normalized Homeomorphic Solutions to Nonlinear Beltrami Equations (2010) (6)
Quasiconformal distortion of Riesz capacities and Hausdorff measures in the plane (2010) (6)
A hunt for sharp Lp-estimates and rank-one convex variational integrals (2014) (5)
Improved Hölder regularity for strongly elliptic PDEs (2019) (5)
On quasiconformal rigidity in space and plane (1988) (5)
On Semifredholm Operators and the Calkin Algebra (1986) (5)
Recent connections and applications of planar quasiconformal mappings (2001) (3)
and 2-Dimensional G-Closure Problems (1998) (3)
Rough Potential Recovery in the Plane (2013) (3)
Rectifiability in Teichmüller theory (1995) (2)
Monotone Maps of Rn are Quasiconformal (2008) (2)
Recovery of the Dirichlet-to-Neumann map from scattering data in the plane (Harmonic Analysis and Nonlinear Partial Differential Equations) (2014) (2)
Global smoothness of quasiconformal mappings in the Triebel-Lizorkin scale. (2019) (2)
Manifolds of quasiconformal mappings and the nonlinear Beltrami equation (2014) (1)
On the measurability of vector valued functions (1980) (1)
Quasiregular mappings and Young measures (2002) (1)
Chapter 6. Parameterizing General Linear Elliptic Systems (2008) (0)
Chapter 17. PDEs Not Of Divergence Type: Pucci’S Conjecture (2008) (0)
Chapter 14. Lp-Theory Of Beltrami Operators (2008) (0)
Chapter 9. Nonlinear Riemann Mapping Theorems (2008) (0)
Chapter 15. Schauder Estimates For Beltrami Operators (2008) (0)
Bilipschitz and quasiconformal rotation, stretching and multifractal spectra (2014) (0)
Chapter 13. Higher Integrability (2008) (0)
Chapter 11. A Quasilinear Cauchy Problem (2008) (0)
Chapter 5. The Measurable Riemann Mapping Theorem: The Existence Theory Of Quasiconformal Mappings (2008) (0)
A P ] 1 2 D ec 2 00 8 Homeomorphic Solutions to Reduced Beltrami Equations (2009) (0)
Chapter 12. Holomorphic Motions (2008) (0)
Chapter 20. Solving The Beltrami Equation: Degenerate Elliptic Case (2008) (0)
Chapter 7. The Concept Of Ellipticity (2008) (0)
Chapter 2. A Background In Conformal Geometry (2008) (0)
Chapter 10. Conformal Deformations And Beltrami Systems (2008) (0)
Lempert mappings and holomorphic motions in Cn (2019) (0)
Chapter 4. Complex Potentials (2008) (0)
Chapter 8. Solving General Nonlinear First-Order Elliptic Systems (2008) (0)
Chord-arc curves and the Beurling transform (2015) (0)
On Pavlovic’s Theorem in Space (2015) (0)
Chapter 18. Quasiconformal Methods In Impedance Tomography: Calderón’s Problem (2008) (0)
Appendix: Elements Of Sobolev Theory And Function Spaces (2008) (0)
Chapter 16. Applications To Partial Differential Equations (2008) (0)
Chapter 3. The Foundations Of Quasiconformal Mappings (2008) (0)
Chapter 21. Aspects Of The Calculus Of Variations (2008) (0)
(s)-nuclear sets and operators (1987) (0)
Homogenization of iterated singular integrals with applications to random quasiconformal maps (2020) (0)
Asymptotic Variance of the Beurling Transform (2015) (0)
Chapter 19. Integral Estimates For The Jacobian (2008) (0)

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What Schools Are Affiliated With Kari Astala?

Kari Astala is affiliated with the following schools:

Kari Astala's Academic­Influence.com Rankings

Kari Astala's Degrees

Why Is Kari Astala Influential?

Kari Astala's Published Works

Published Works

Other Resources About Kari Astala

What Schools Are Affiliated With Kari Astala?

Kari Astala's AcademicInfluence.com Rankings