Generalized Hardy spaces

DOI10.1007/s10114-010-8647-9zbMath1204.42030OpenAlexW2052009382MaRDI QIDQ606322

António M. Caetano, Alexandre Almeida

Publication date: 17 November 2010

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-010-8647-9

zbMATH Keywords

singular integralPoisson kernelmaximal functionsRiesz potentialgeneralized Hardy spacesinterpolation with function parameter

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) (H^p)-spaces (42B30) Abstract interpolation of topological vector spaces (46M35) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (13)

Function spaces of Lorentz-Sobolev type: atomic decompositions, characterizations in terms of wavelets, interpolation and multiplications ⋮ Littlewood-Paley characterizations of anisotropic Hardy-Lorentz spaces ⋮ Anisotropic Hardy-Lorentz spaces and their applications ⋮ Anisotropic variable Hardy-Lorentz spaces and their real interpolation ⋮ Characterization of \(B_{p(\cdot)}\) weight and some maximal characterizations of anisotropic weighted Hardy-Lorentz spaces with variable exponent ⋮ Littlewood-Paley and finite atomic characterizations of anisotropic variable Hardy-Lorentz spaces and their applications ⋮ Unnamed Item ⋮ Real interpolation of generalized Besov-Hardy spaces and applications ⋮ Atomic characterization of Musielak-Orlicz-Lorentz Hardy spaces and its applications to real interpolation and boundedness of Calderón-Zygmund operators ⋮ Real-variable characterizations of Hardy-Lorentz spaces on spaces of homogeneous type with applications to real interpolation and boundedness of Calderón-Zygmund operators ⋮ An off-diagonal Marcinkiewicz interpolation theorem on Lorentz spaces ⋮ On function spaces of Lorentz-Sobolev type ⋮ Atomic decomposition of Hardy-amalgam spaces

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