A Class of L p -Bounded Pseudo-Differential Operators
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Publication:4765629
DOI10.2307/2040320zbMath0279.47017OpenAlexW4255975432MaRDI QIDQ4765629
Publication date: 1975
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2040320
Pseudodifferential operators as generalizations of partial differential operators (35S05) Integral, integro-differential, and pseudodifferential operators (47Gxx)
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Embedding of function spaces of variable order of differentiation in function spaces of variable order of integration ⋮ \(L^p\)-theory of boundary integral operators for domains with unbounded smooth boundary ⋮ Zur Spektralinvarianz von Algebren von Pseudodifferentialoperatoren in der \(L^ p\)-Theorie. (The spectral invariance of algebras of pseudodifferential operators in the \(L^ p\)-theory) ⋮ Two inequalities for pseudo-differential operators ⋮ Weighted Sobolev Spaces and Pseudodifferential Operators with Smooth Symbols ⋮ Boundedness and spectral invariance for standard pseudodifferential operators on anisotropically weighted \(L^ p\)-Sobolev spaces ⋮ On compactness of commutators of multiplications and convolutions, and boundedness of pseudodifferential operators ⋮ Interpolation of Besov spaces of variable order of differentiation ⋮ Local sharp maximal functions ⋮ Pseudo-differential operators of the exotic class \(L^ o_{1,1}\) in spaces of Besov and Triebel-Lizorkin type ⋮ Pseudodifferential operators with variable order of differentiation generating Feller semigroups
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