Brennan's conjecture for composition operators on Sobolev spaces

Vladimir Gol'dshtein; Alexander Ukhlov

Brennan's conjecture for composition operators on Sobolev spaces

Department of Mathematics

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

Abstract

We show that Brennan's conjecture is equivalent to boundedness of composition operators on homogeneous Sobolev spaces generated by conformal homeomorphisms of simply connected plane domains to the unit disc.

Original language	Russian
Pages (from-to)	35-43
Journal	Eurasian Mathematical Journal
Volume	3
Issue number	4
State	Published - 2012

Cite this

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title = "Brennan's conjecture for composition operators on Sobolev spaces",

abstract = "We show that Brennan's conjecture is equivalent to boundedness of composition operators on homogeneous Sobolev spaces generated by conformal homeomorphisms of simply connected plane domains to the unit disc.",

author = "Vladimir Gol'dshtein and Alexander Ukhlov",

year = "2012",

language = "רוסית",

volume = "3",

pages = "35--43",

journal = "Eurasian Mathematical Journal",

issn = "2077-9879",

publisher = "Eurasian National University, RUDN University, MSU, University of Padua",

number = "4",

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AU - Gol'dshtein, Vladimir

AU - Ukhlov, Alexander

PY - 2012

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N2 - We show that Brennan's conjecture is equivalent to boundedness of composition operators on homogeneous Sobolev spaces generated by conformal homeomorphisms of simply connected plane domains to the unit disc.

AB - We show that Brennan's conjecture is equivalent to boundedness of composition operators on homogeneous Sobolev spaces generated by conformal homeomorphisms of simply connected plane domains to the unit disc.

M3 - מאמר

SN - 2077-9879

VL - 3

SP - 35

EP - 43

JO - Eurasian Mathematical Journal

JF - Eurasian Mathematical Journal

IS - 4

ER -