[Banach] Abstract of a paper by Pavel Shvartsman

This is an announcement for the paper "On extensions of Sobolev functions defined on regular subsets of metric measure spaces" by Pavel Shvartsman.

Abstract: We characterize the restrictions of first order Sobolev functions to regular subsets of a homogeneous metric space and prove the existence of the corresponding linear extension operator.

Archive classification: Functional Analysis

Mathematics Subject Classification: 46E35

The source file(s), SobolevExtension.tex: 96827 bytes, is(are) stored in gzipped form as 0601679.gz with size 18kb. The corresponding postcript file has gzipped size 80kb.

Submitted from: pshv@math.technion.ac.il

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http://front.math.ucdavis.edu/math.FA/0601679

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http://arXiv.org/abs/math.FA/0601679

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