Extension operators on sobolev spaces with decreasing integrability

Alexander Ukhlov

Extension operators on sobolev spaces with decreasing integrability

Alexander Ukhlov

Department of Mathematics

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

2 Scopus citations

Abstract

We study extension operators on Sobolev spaces with decreasing integrability on the base of set functions associated with the operator norms. Sharp necessary conditions are given in terms of the generalized measure density condition and in terms of a weak integral equivalence of the Euclidean metric and an intrinsic metric.

Original language	English
Pages (from-to)	381-388
Number of pages	8
Journal	Transactions of A. Razmadze Mathematical Institute
Volume	174
Issue number	3
State	Published - 1 Dec 2020

Keywords

Sobolev spaces; Extension operators

ASJC Scopus subject areas

General Mathematics

Cite this

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title = "Extension operators on sobolev spaces with decreasing integrability",

abstract = "We study extension operators on Sobolev spaces with decreasing integrability on the base of set functions associated with the operator norms. Sharp necessary conditions are given in terms of the generalized measure density condition and in terms of a weak integral equivalence of the Euclidean metric and an intrinsic metric.",

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AB - We study extension operators on Sobolev spaces with decreasing integrability on the base of set functions associated with the operator norms. Sharp necessary conditions are given in terms of the generalized measure density condition and in terms of a weak integral equivalence of the Euclidean metric and an intrinsic metric.

KW - Sobolev spaces; Extension operators

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M3 - Article

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JO - Transactions of A. Razmadze Mathematical Institute

JF - Transactions of A. Razmadze Mathematical Institute

IS - 3

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Extension operators on sobolev spaces with decreasing integrability

Abstract

Keywords

ASJC Scopus subject areas

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