On \(L_p(\ell_q)\)-spaces of entire analytic functions of exponential type: complex interpolation and Fourier multipliers. The case \(0

DOI10.1016/0021-9045(80)90066-0zbMath0446.46018OpenAlexW2027549515MaRDI QIDQ1145852

Hans Triebel

Publication date: 1980

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(80)90066-0

zbMATH Keywords

Fourier multipliersmaximal functionscomplex interpolationspaces of Besov-Hardy-Sobolev typespaces of entire analytic functions of exponential type

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Multipliers for harmonic analysis in several variables (42B15) Banach spaces of continuous, differentiable or analytic functions (46E15) Abstract interpolation of topological vector spaces (46M35)

Related Items (4)

Fourier multipliers on a vector-valued function space ⋮ Interpolation of linear operators ⋮ Complex interpolation and Fourier multipliers for the spaces \(B^s_{p,q}\) and \(F^s_{p,q}\) of Besov-Hardy-Sobolev type: The case \(O<p\leq\infty,\;O<q\leq \infty\) ⋮ Complex interpolation and Fourier multipliers for the spaces \(B^s_{p,q}\) and \(F^s_{p,q}\) of Besov-Hardy-Sobolev type: The case \(0<p\leq\infty, 0<q\leq\infty\)

Cites Work

• Parabolic maximal functions associated with a distribution. II
• \(H^p\) spaces of several variables
• On the spaces F^s _p.q of iiardy-soblow type: equivalent quasi-norys , multipliers, spaces on doilains , regular elliptic botjndary vaiue prblems
• On besov - hardy - sobolev spaces in domains and regular elliptic boundary value problems. the case
• Intermediate spaces and interpolation, the complex method
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