Pseudodifferential operators in Weighted Hölder-Zygmund spaces of variable smoothness

Vadim Kryakvin, Vladimir Rabinovich

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

3 Scopus citations

Abstract

We consider pseudodifferential operators of variable orders acting in Hölder-Zygmund spaces of variable smoothness. We prove the boundedness and compactness of the operators under consideration and study the Fredholm property of pseudodifferential operators with slowly oscillating at infinity symbols in the weighted Hölder-Zygmund spaces of variable smoothness.

Original languageEnglish
Title of host publicationOperator Theory
Subtitle of host publicationAdvances and Applications
PublisherSpringer International Publishing
Pages511-531
Number of pages21
DOIs
StatePublished - 2017

Publication series

NameOperator Theory: Advances and Applications
Volume259
ISSN (Print)0255-0156
ISSN (Electronic)2296-4878

Keywords

  • Hölder-Zygmund spaces of variable smoothness
  • Pseudodifferential operators

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