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Wiener criterion on metric spaces: Boundary regularity in axiomatic and Poincaré-Sobolev spaces

✍ Scribed by Sergey A. Timoshin

Book ID: 107529333
Publisher: The Hebrew University Magnes Press
Year: 2010
Tongue: English
Weight: 491 KB
Volume: 179
Category: Article
ISSN: 0021-2172
DOI: 10.1007/s11856-010-0079-9

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## Abstract Properties of integral operators with weak singularities arc investigated. It is assumed that __G__ ⊂ ℝ^n^ is a bounded domain. The boundary δ__G__ should be smooth concerning the Sobolev trace theorem. It will be proved that the integral operators \documentclass{article}\pagestyle{empt