Kari Astala &ndash; Publications

2017

Nonlinear Beltrami operators, Schauder estimates and bounds for the Jacobian

Astala, K., Clop, A., Faraco, D., Jääskeläinen, J. & Koski, A., 2017, In : Annales de l'Institut Henri Poincaré. Analyse non linéaire. 34, 6, p. 1543-1559 17 p.

Research output: Contribution to journal › Article › Scientific › peer-review

2016

Chord-arc curves and the Beurling transform

Astala, K. & Gonzalez, M. J., Jul 2016, In : Inventiones Mathematicae. 205, 1, p. 57-81 25 p.

Research output: Contribution to journal › Article › Scientific › peer-review

THE BORDERLINES OF INVISIBILITY AND VISIBILITY IN CALDERON'S INVERSE PROBLEM

Astala, K., Lassas, M. & Päivärinta, L., 2016, In : Analysis & PDE. 9, 1, p. 43-98 56 p.

Research output: Contribution to journal › Article › Scientific › peer-review

Unbounded potential recovery in the plane

Astala, K., Faraco, D. & Rogers, K. M., Sep 2016, In : Annales Scientifiques de l'Ecole Normale Superieure. 49, 5, p. 1027-1051 25 p.

Research output: Contribution to journal › Article › Scientific › peer-review

2015

A Hunt for Sharp L-p-Estimates and Rank-One Convex Variational Integrals

Astala, K., Iwaniec, T., Prause, I. & Saksman, E., 2015, In : Filomat. 29, 2, p. 245-261 17 p.

Research output: Contribution to journal › Article › Scientific › peer-review

Asymptotic Variance of the Beurling Transform

Astala, K., Ivrii, O., Perala, A. & Prause, I., Dec 2015, In : Geometric and Functional Analysis. 25, 6, p. 1647-1687 41 p.

Research output: Contribution to journal › Article › Scientific › peer-review

Bilipschitz and quasiconformal rotation, stretching and multifractal spectra

Prause, I., Astala, K., Iwaniec, T. & Saksman, E., 2015, In : Institut des Hautes Etudes Scientifiques, Paris. Publications Mathematiques. 121, 1, p. 113-154 41 p.

Research output: Contribution to journal › Article › Scientific › peer-review

On Pavlovic's Theorem in Space

Astala, K. & Manojlovic, V., Oct 2015, In : Potential Analysis. 43, 3, p. 361-370 10 p.

Research output: Contribution to journal › Article › Scientific › peer-review

On Plancherel's identity for a two-dimensional scattering transform

Astala, K., Faraco, D. & Rogers, K. M., Aug 2015, In : Nonlinearity. 28, 8, p. 2721-2729 9 p.

Research output: Contribution to journal › Article › Scientific › peer-review

Open Access

2014

Nonlinear Fourier analysis for discontinuous conductivities: computational results

Astala, K., Päivärinta, L., Reyes, J. M. & Siltanen, S., 2014, In : Journal of Computational Physics. 276, p. 74-91

Research output: Contribution to journal › Article › Scientific › peer-review

2013

Calderón’s inverse problem: imaging and invisibility

Astala, K., Lassas, M. & Päivärinta, L., 2013, Inverse problems and Applications: Inside Out II. Uhlmann, G. (ed.). Cambrigde University Press, Vol. 60. p. 1-54 54 p. (Mathematical Sciences Research Institute Publications; vol. 60).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Scientific › peer-review

Quasiconformal distortion of Riesz capacities and Hausdorff measures in the plane

Astala, K., Clop, A., Tolsa, X., Uriarte-Tuero, I. & Verdera, J., 2013, In : American Journal of Mathematics. 135, 1, p. 17-52 36 p.

Research output: Contribution to journal › Article › Scientific › peer-review

2012

Burkholder integrals, Morrey's problem and quasiconformal mappings

Astala, K., Iwaniec, T., Prause, I. & Saksman, E., 2012, In : Journal of the American Mathematical Society. 25, 2, p. 507-531 25 p.

Research output: Contribution to journal › Article › Scientific › peer-review

Uniqueness of Normalized Homeomorphic Solutions to Nonlinear Beltrami Equations

Astala, K., Clop, A., Faraco, D., Jaaskelainen, J. & Szekelyhidi, L., 2012, In : International Mathematics Research Notices. 2012, 18, p. 4101-4119 19 p.

Research output: Contribution to journal › Article › Scientific › peer-review

2011

Direct electrical impedance tomography for nonsmooth conductivities

Astala, K., Mueller, J., Päivärinta, L., Perämäki, A. & Siltanen, M. S., 2011, In : Inverse problems and imaging. 5, 3, p. 531-549 19 p.

Research output: Contribution to journal › Article › Scientific › peer-review

H-p-theory for Quasiconformal Mappings

Astala, K. & Koskela, P., 2011, In : Pure and Applied Mathematics Quarterly. 7, 1, p. 19-50 32 p.

Research output: Contribution to journal › Article › Scientific › peer-review

Miracles of holomorphic motions

Astala, K., 2011, In : Revista Matematica Iberoamericana. SI, p. 11-+ 9 p.

Research output: Contribution to journal › Article › Scientific › peer-review

Random conformal weldings

Saksman, E., Astala, K., Kupiainen, A. & Peter, J., 2011, In : Acta Mathematica. 207, 2, p. 203-254 55 p.

Research output: Contribution to journal › Article › Scientific › peer-review

2010

Burkholder integrals, Morrey's problem and quasiconformal mappings

Astala, K., Iwaniec, T., Prause, I. & Saksman, E., 2010, 33 p. (arXiv e-prints)

Research output: Book/Report › Book › Scientific › peer-review

Deformations of Annuli with Smallest Mean Distortion

Astala, K., Iwaniec, T. & Martin, G., 2010, In : Archive for Rational Mechanics and Analysis. 195, 3, p. 899-921 23 p.

Research output: Contribution to journal › Article › Scientific › peer-review

Numerical computation of complex geometrical optics solutions to the conductivity equation

Astala, K., Mueller, J. L., Paivarinta, L. & Siltanen, S., 2010, In : Applied and Computational Harmonic Analysis. 29, 1, p. 2-17 16 p.

Research output: Contribution to journal › Article › Scientific › peer-review

Optimal regularity for planar mappings of finite distortion

Astala, K., Gill, J. T., Rohde, S. & Saksman, E., 2010, In : Annales de l'Institut Henri Poincaré. Analyse non linéaire. 27, 1, p. 1-19 19 p.

Research output: Contribution to journal › Article › Scientific › peer-review

Random curves by conformal welding

Astala, K., Jones, P., Kupiainen, A. & Saksman, E., 2010, In : Comptes Rendus. Mathématique. 348, 5-6, p. 257-262 6 p.

Research output: Contribution to journal › Article › Scientific › peer-review

2009

Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane

Astala, K., Iwaniec, T. & Martin, G., 2009, Princeton University Press, cop. (Mathematical Series; no. 48)

Research output: Book/Report › Book › Scientific › peer-review

HOMEOMORPHIC SOLUTIONS TO REDUCED BELTRAMI EQUATIONS

Astala, K. & Jääskeläinen, J., 2009, In : Annales Academiae Scientiarum Fennicae. Mathematica. 34, p. 607-613 7 p.

Research output: Contribution to journal › Article › Scientific › peer-review

2008

Convex integration and the L[sup p] theory of elliptic equations

Astala, K., Faraco, D. & Szekelyhidi, L. J., 2008, In : Annali della Scuola normale superiore di Pisa : Classe di scienze. 7, 1, p. 1-50 50 p.

Research output: Contribution to journal › Article › Scientific › peer-review

Distortion of Hausdorff measures and improved Painleve removabilty for quasiregular mappings

Astala, K., Clop, A., Mateu, J., Orobitg, J. & Uriarte-Tuero, I., 2008, In : Duke Mathematical Journal. 141, 3, p. 539-571 33 p.

Research output: Contribution to journal › Article › Scientific › peer-review

Monotone maps of Rn are quasiconformal

Astala, K., Iwaniec, T. & Martin, G. J., 2008, In : Methods and applications of analysis. 15, 1, p. 31-38 8 p.

Research output: Contribution to journal › Article › Scientific › peer-review

Schottky's theorem on conformal mappings between annuli: a play of derivatives and integrals

Astala, K., Iwaniec, T., Martin, G. & Onninen, J., 2008, Complex analysis and dynamical systems III. Agranovsky, M., Bshouty, D., Karp, L., Reich, S., Shoikhet, D. & Zalcman, L. (eds.). p. 35-39 5 p. (Contemporary mathematics; vol. 455).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Scientific › peer-review

2007

Improved Painleve removability for bounded planar quasiregular mappings

Astala, K., Clop, A., Mateu, J., Orobitg, J. & Uriarte-Tuero, I., 2007, Harmonic analysis, partial differential equations, and related topics. Gavosto, E. A., Korten, M. K., Moore, C. N. & Torres, R. H. (eds.). Providence, R.I: American Mathematical Society, p. 1-12 12 p. (Contemporary Mathematics; vol. 428).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Scientific › peer-review

2006

2005

Calderon's inverse problem for anisotropic conductivity in the plane

Astala, K., Päivärinta, L. & Lassas, M., 2005, In : Communications in Partial Differential Equations. 30, 1-2, p. 207-224 18 p.

Research output: Contribution to journal › Article › Scientific › peer-review

Extremal mappings of finite distortion

Astala, K., Iwaniec, T., Martin, G. J. & Onninen, J., 2005, In : Proceedings of the London Mathematical Society. 91, 3, p. 655-702 48 p.

Research output: Contribution to journal › Article › Scientific › peer-review

2002

Quasiconformal Mappings with Sobolev Boundary Values

Astala, K., Bonk, M. & Heinonen, J., 2002, In : Annali della Scuola normale superiore di Pisa : Classe di scienze. Sér. 5, 1, 3, p. 687-731 45 p.

Research output: Contribution to journal › Article › Scientific › peer-review

2001

Beltrami operators in the plane

Astala, K., Iwaniec, T. & Saksman, E., 2001, In : Duke Mathematical Journal. 107, 1, p. 27-56 30 p.

Research output: Contribution to journal › Article › Scientific › peer-review

1996

The finite Hilbert transform in weighted spaces

Astala, K., Paivarinta, L. & Saksman, E., 1996, In : Proceedings of the Royal Society of Edinburgh. Section A, Mathematics. 126, p. 1157-1167 11 p.

Research output: Contribution to journal › Article › Scientific › peer-review

1994

Area distortion of quasiconformal mappings

Astala, K., 1994, In : Acta Mathematica. 173, p. 37-60 23 p.

Research output: Contribution to journal › Article › Scientific › peer-review