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Dive into the research topics where Antti Perälä is active.

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Featured researches published by Antti Perälä.


Geometric and Functional Analysis | 2015

Asymptotic Variance of the Beurling Transform

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

Toeplitz operators with distributional symbols on Bergman spaces

Antti Perälä; Jari Taskinen; Jani Virtanen


Archive | 2014

Hankel Operators on Fock Spaces

Antti Perälä; A. Schuster; Jani Virtanen

{1 + k^2}


Archive | 2013

The Index Formula of Douglas for Block Toeplitz Operators on the Bergman Space of the Ball

Albrecht Böttcher; Antti Perälä


Concrete Operators | 2013

A Riemann-Hilbert problem with a vanishing coefficient and applications to Toeplitz operators

Antti Perälä; Jani Virtanen; L. Wolf

1+k2, it is natural to expect that the maximum asymptotic variance


Annales Academiae Scientiarum Fennicae. Mathematica | 2012

ON THE OPTIMAL CONSTANT FOR THE BERGMAN PROJECTION ONTO THE BLOCH SPACE

Antti Perälä


Annales Academiae Scientiarum Fennicae. Mathematica | 2013

Bloch space and the norm of the Bergman projection

Antti Perälä

{\Sigma^2 = 1}


Operators and Matrices | 2011

A note on the Fredholm properties of Toeplitz operators on weighted Bergman spaces with matrix-valued symbols

Antti Perälä; Jani A. Virtanen


Archive | 2011

New results and open problems on Toeplitz operators in Bergman spaces

Antti Perälä; Jari Taskinen; Jani Virtanen

Σ2=1. In this paper, we prove


Archiv der Mathematik | 2014

Sharp constant for the Bergman projection onto the minimal Möbius invariant space

Antti Perälä

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Jouni Rättyä

University of Eastern Finland

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Kari Astala

University of Helsinki

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Oleg Ivrii

California Institute of Technology

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A. Schuster

American University in Cairo

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Albrecht Böttcher

Chemnitz University of Technology

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