Spectral invariance for pseudodifferential operators in Hölder-Zygmund spaces of the variable smoothness

DOI10.1007/s11868-016-0182-8OpenAlexW2566681461MaRDI QIDQ1742068

Gulnara Omarova, Vadim D. Kryakvin

Publication date: 11 April 2018

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-016-0182-8

zbMATH Keywords

spectruminvertibilitypseudodifferential operatorHölder-Zygmund spacesvariable smoothness

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Pseudodifferential operators (47G30)

Related Items (1)

The Boutet de Monvel operators in variable Hölder–Zygmund spaces on $\mathbb{R}^{n}_+$

Cites Work

• Characterization of pseudodifferential operators in Hölder-Zygmund spaces
• Spectral invariance of non-smooth pseudo-differential operators
• Ellipticity, Fredholmness and spectral invariance of pseudo-differential operators on \({{\mathbb S}^1}\)
• Lebesgue and Sobolev spaces with variable exponents
• Pseudodifferential operators in Hardy-Triebel spaces
• Boundedness and spectral invariance for standard pseudodifferential operators on anisotropically weighted \(L^ p\)-Sobolev spaces
• Embeddings of variable Hajłasz-Sobolev spaces into Hölder spaces of variable order
• Zur Spektralinvarianz von Algebren von Pseudodifferentialoperatoren in der \(L^ p\)-Theorie. (The spectral invariance of algebras of pseudodifferential operators in the \(L^ p\)-theory)
• Spectral invariance, ellipticity, and the Fredholm property for pseudodifferential operators on weighted Sobolev spaces
• Characterization of pseudodifferential operator and application
• On Besov spaces of variable order of differentiation
• Spectral invariance for algebras of pseudodifferential operators on Besov-Triebel-Lizorkin spaces
• Spectral invariance for pseudodifferential operators on weighted function spaces
• Boundedness of pseudodifferential operators in Hölder-Zygmund spaces of variable order
• Besov-type spaces with variable smoothness and integrability
• Pseudodifferential Operators in Weighted Hölder–Zygmund Spaces of Variable Smoothness
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