Essential spectra of pseudodifferential operators in Sobolev spaces with variable smoothness and variable Lebesgue indices

DOI10.1134/S1064562407060087zbMath1169.35066OpenAlexW2150684078MaRDI QIDQ957805

Vladimir S. Rabinovich, Stefan G. Samko

Publication date: 1 December 2008

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562407060087

zbMATH Keywords

pseudodifferential operatorsgeneralized Lebesgue spacesslowly oscillating symbolsSobolev spaces of variable order

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Pseudodifferential operators (47G30)

Related Items (2)

Pseudodifferential operators on Besov spaces of variable smoothness ⋮ Pseudodifferential operators approach to singular integral operators in weighted variable exponent Lebesgue spaces on Carleson curves

Cites Work

• Limit operators and their applications in operator theory
• Spectral Invariance for Algebras of Pseudodifferential Operators on Besov Spaces of Variable Order of Differentiation
• On a progress in the theory of lebesgue spaces with variable exponent: maximal and singular operators
• Unnamed Item

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