Boundedness of anisotropic pseudo-differential operators in function spaces of Besov-Hardy-Sobolev type

DOI10.4171/ZAA/208zbMath0619.35118OpenAlexW2566434788MaRDI QIDQ1089530

Hans-Gerd Leopold

Publication date: 1986

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/208

zbMATH Keywords

anisotropic function spacesHörmander classBesov-Hardy-Sobolev type

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) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items (6)

Unnamed Item ⋮ \(L^p(\mathbb R^n)\)-continuity of translation invariant anisotropic pseudodifferential operators: a necessary condition ⋮ Anisotropic classes of inhomogeneous pseudodifferential symbols ⋮ Eigenvalue distribution of semi-elliptic operators in anisotropic Sobolev spaces ⋮ Characterizations of anisotropic Besov spaces ⋮ Spectral invariance for algebras of pseudodifferential operators on Besov-Triebel-Lizorkin spaces

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