Multipliers of \(H^p\) spaces

DOI10.1007/BF02385998zbMath0402.46024OpenAlexW2329965553MaRDI QIDQ1255670

Raymond L.Johnson

Publication date: 1978

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02385998

zbMATH Keywords

InterpolationMultipliersFourier TransformHomogeneous Besov SpacesHomogeneous Lebesgue Potential SpacesHp SpacesK-Spaces

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) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) (H^p)-spaces (42B30)

Related Items (8)

Fourier multipliers between weighted anisotropic function spaces. II: Besov-Triebel spaces ⋮ Maximal Subspaces of Besov Spaces Invariant Under Multiplication by Characters ⋮ A multiplier theorem for the Hankel transform on the associated Hardy space ⋮ On Fourier multipliers between Besov spaces with \(0<p_0\leq \text{min}\{1,p_1\}\) ⋮ Fourier multipliers between weighted anisotropic function spaces. I: Besov spaces ⋮ Multipliers from \(H^1\) to \(L^p\) ⋮ Besov spaces and Bessel potential spaces on certain groups ⋮ On Besov, Hardy and Triebel spaces for \(0<p\leq 1\)

Cites Work

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• Boundedness of translation invariant operators on Hölder spaces and \(L^ p\)-spaces
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• \(H^p\) spaces of several variables
• Maximal Subspaces of Besov Spaces Invariant Under Multiplication by Characters
• Lipschitz Spaces, Littlewood-Paley Spaces, and Convoluteurs
• Lp Estimates for Convolution Operators Defined by Compactly Supported Distributions in Rn.
• Convoluteurs of 𝐻^{𝑝} spaces
• Some Elementary Inequalities for Integrals with Applications to Fourier Transforms
• Temperatures, Riesz Potentials, and the Lipschitz Spaces of Herz

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