If you made any changes in Pure these will be visible here soon.

Publications 1994 2017

Filter
Article
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 journalArticleScientificpeer-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 journalArticleScientificpeer-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 journalArticleScientificpeer-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 journalArticleScientificpeer-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 journalArticleScientificpeer-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 journalArticleScientificpeer-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 journalArticleScientificpeer-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 journalArticleScientificpeer-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 journalArticleScientificpeer-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 journalArticleScientificpeer-review

2013

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 journalArticleScientificpeer-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 journalArticleScientificpeer-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 journalArticleScientificpeer-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 journalArticleScientificpeer-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 journalArticleScientificpeer-review

Miracles of holomorphic motions

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

Research output: Contribution to journalArticleScientificpeer-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 journalArticleScientificpeer-review

2010

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 journalArticleScientificpeer-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 journalArticleScientificpeer-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 journalArticleScientificpeer-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 journalArticleScientificpeer-review

2009

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 journalArticleScientificpeer-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 journalArticleScientificpeer-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 journalArticleScientificpeer-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 journalArticleScientificpeer-review

2006

A boundary integral equation for Calderon's inverse conductivity problem

Astala, K. & Päivärinta, L., 2006, In : Collectanea Mathematica. S, p. 127-139 13 p.

Research output: Contribution to journalArticleScientificpeer-review

Calderon's inverse conductivity problem in the plane

Astala, K. & Päivärinta, L., 2006, In : Annals of Mathematics. Second Series. 163, 1, p. 265-299 35 p.

Research output: Contribution to journalArticleScientificpeer-review

Pucci's conjecture and the Alexandrov inequality for elliptic PDE's in the plane

Astala, K., Iwaniec, T. & Martin, G., 2006, In : Journal für die Reine und Angewandte Mathematik. 591, p. 49-74 26 p.

Research output: Contribution to journalArticleScientificpeer-review

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 journalArticleScientificpeer-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 journalArticleScientificpeer-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 journalArticleScientificpeer-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 journalArticleScientificpeer-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 journalArticleScientificpeer-review

1994

Area distortion of quasiconformal mappings

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

Research output: Contribution to journalArticleScientificpeer-review