Complex interpolation and Fourier multipliers for the spaces \(B^s_{p,q}\) and \(F^s_{p,q}\) of Besov-Hardy-Sobolev type: The case \(O

DOI10.1007/BF01214760zbMath0438.42009MaRDI QIDQ1141849

Hans Triebel

Publication date: 1981

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/183659

zbMATH Keywords

Fourier multipliersBesov spacesmaximal functionsLipschitz spacesHölder-Zygmund spacesSobolev-Slobodeckij spacesBessel-potential spacescomplex interpolation formula

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Interpolation in approximation theory (41A05) Multipliers in one variable harmonic analysis (42A45)

Related Items (2)

Fourier multiplier theorems for Triebel-Lizorkin spaces ⋮ Fourier multipliers on anisotropic mixed-norm spaces of distributions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Estimates for translation invariant operators in \(L^p\) spaces
• On \(L_p(\ell_q)\)-spaces of entire analytic functions of exponential type: complex interpolation and Fourier multipliers. The case \(0<p<\infty, 0<q<\infty\)
• Maximal inequalities, Fourier multipliers, Littlewood-Paley theorems, and approximations by entire analytic functions in weighted spaces
• Parabolic maximal functions associated with a distribution
• Applications de la théorie des espaces d'interpolation dans l'analyse harmonique
• Spaces of distributions of Besov type on Euclidean n-space. Duality, interpolation
• \(H^p\) spaces of several variables
• Intermediate spaces and interpolation, the complex method

This page was built for publication: Complex interpolation and Fourier multipliers for the spaces \(B^s_{p,q}\) and \(F^s_{p,q}\) of Besov-Hardy-Sobolev type: The case \(O<p\leq\infty,\;O<q\leq \infty\)