Factorization of functions in H1(ℝn) and generalized Morrey spaces

DOI10.1002/mana.200310381zbMath1129.42360OpenAlexW1974542629MaRDI QIDQ5467044

Takahiro Takahiro, Yasuo Komori

Publication date: 23 May 2006

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

Full work available at URL: https://doi.org/10.1002/mana.200310381

zbMATH Keywords

singular integralcommutatorgeneralized Morrey space

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) (H^p)-spaces (42B30)

Related Items (13)

Hardy operators and commutators on generalized central function spaces ⋮ Necessary and sufficient condition for a VMO function ⋮ Commutators of parabolic singular integrals on the generalized Morrey spaces ⋮ Boundedness of the anisotropic maximal and anisotropic singular integral operators in generalized Morrey spaces ⋮ Hardy factorization in terms of multilinear Calderón-Zygmund operators using Morrey spaces ⋮ Hardy factorization in terms of fractional commutators in Lorentz spaces ⋮ Commutators of Littlewood-Paley operators on the generalized Morrey space ⋮ Boundedness and compactness characterizations of Riesz transform commutators on Morrey spaces in the Bessel setting ⋮ A Thought on Generalized Morrey Spaces ⋮ Cauchy integral commutators and Hardy factorization on Lorentz spaces ⋮ Beurling-Ahlfors commutators on weighted Morrey spaces and applications to Beltrami equations ⋮ Predual spaces of Morrey spaces with non-doubling measures ⋮ Generalized fractional maximal operators and vector-valued inequalities on generalized Orlicz-Morrey spaces

Cites Work

• The factorization of \(H^p\) on the space of homogeneous type

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