Pseudo-differential operators on Sobolev and Lipschitz spaces

DOI10.1007/s10114-010-8109-4zbMath1185.42012OpenAlexW1983119280MaRDI QIDQ2266873

Yan Lin, Lu, Shanzhen

Publication date: 26 February 2010

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-010-8109-4

zbMATH Keywords

Sobolev spaceLipschitz spacepseudo-differential operatorBessel potential space

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Lipschitz (Hölder) classes (26A16) Pseudodifferential operators (47G30)

Related Items

Weighted estimates for Toeplitz operators related to pseudodifferential operators, An \(L_p\)-Lipschitz theory for parabolic equations with time measurable pseudo-differential operators, Unnamed Item, Boundedness of multi-parameter pseudo-differential operators on multi-parameter Lipschitz spaces, Some results and problems on commutators, On boundedness of pseudo-differential operators in Hölder-Zygmund spaces with variable order of smoothness

Cites Work

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• Estimates for the kernel and continuity properties of pseudo-differential operators
• Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
• Commutator estimates
• Paradifferential operators and commutator estimates