Fourier multipliers between weighted anisotropic function spaces. II: Besov-Triebel spaces

DOI10.4171/ZAA/731zbMath0906.42006OpenAlexW1972583407MaRDI QIDQ2365265

Peter Dintelmann

Publication date: 27 February 1997

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

Full work available at URL: https://doi.org/10.4171/zaa/731

zbMATH Keywords

Fourier multiplieranisotropic spaceweighted Besov spaceweighted Triebel space

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Multipliers for harmonic analysis in several variables (42B15) Sobolev (and similar kinds of) spaces of functions of discrete variables (46E39)

Cites Work

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• Bernstein's theorem and translation invariant operators
• On spaces of Triebel-Lizorkin type
• Multipliers of \(H^p\) spaces
• Spectral invariance for pseudodifferential operators on weighted function spaces
• Fourier multipliers between weighted anisotropic function spaces. I: Besov spaces
• Factorization Theory and A P Weights
• Weighted Parabolic Triebel Spaces of Product Type. Fourier Multipliers and Pseudo-Differential Operators
• Lipschitz Spaces, Littlewood-Paley Spaces, and Convoluteurs
• Inequalities for the maximal function relative to a metric
• Some observations on Besov and Lizorkin-Triebel spaces.
• Classes of Fourier Multipliers and Besov‐Nikolskij Spaces

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