Antti Perälä
University of Helsinki
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Publication
Featured researches published by Antti Perälä.
Geometric and Functional Analysis | 2015
Kari Astala; Oleg Ivrii; Antti Perälä; István Prause
We study the interplay between infinitesimal deformations of conformal mappings, quasiconformal distortion estimates and integral means spectra. By the work of McMullen, the second derivative of the Hausdorff dimension of the boundary of the image domain is naturally related to asymptotic variance of the Beurling transform. In view of a theorem of Smirnov which states that the dimension of a k-quasicircle is at most
Proceedings of the Edinburgh Mathematical Society (Series 2) | 2011
Antti Perälä; Jari Taskinen; Jani Virtanen
Archive | 2014
Antti Perälä; A. Schuster; Jani Virtanen
{1 + k^2}
Archive | 2013
Albrecht Böttcher; Antti Perälä
Concrete Operators | 2013
Antti Perälä; Jani Virtanen; L. Wolf
1+k2, it is natural to expect that the maximum asymptotic variance
Annales Academiae Scientiarum Fennicae. Mathematica | 2012
Antti Perälä
Annales Academiae Scientiarum Fennicae. Mathematica | 2013
Antti Perälä
{\Sigma^2 = 1}
Operators and Matrices | 2011
Antti Perälä; Jani A. Virtanen
Archive | 2011
Antti Perälä; Jari Taskinen; Jani Virtanen
Σ2=1. In this paper, we prove
Archiv der Mathematik | 2014
Antti Perälä