Sobolev spaces of vector-valued functions

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3 Citations (Scopus)

Abstract

Generalizations of Sobolev spaces in two directions are considered: firstly, instead of LP-norms one makes use of more general norms and, secondly, spaces of functions with values in a Banach space are investigated. The problem of the connection between such spaces and spaces of Bessel potentials is solved.

Original languageEnglish
Pages (from-to)2173-2179
Number of pages7
JournalJournal of Mathematical Sciences
Volume71
Issue number1
DOIs
Publication statusPublished - 1 Aug 1994
Externally publishedYes

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Scopus subject areas

  • Mathematics(all)

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