Some characterizations of weighted Herz-type Hardy spaces and their applications

DOI10.1007/BF02560523zbMath0887.42015MaRDI QIDQ4358830

Lu, Shanzhen, Da Chun Yang

Publication date: 5 May 1998

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

zbMATH Keywords

Hardy spaceweighted Herz spacepotential operatorradial and nontangential maximal functions

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) (H^p)-spaces (42B30)

Related Items (17)

Some characterization of Herz and Herz-type Hardy spaces for the Dunkl operator ⋮ Unnamed Item ⋮ Mixed-norm Herz spaces and their applications in related Hardy spaces ⋮ Finite decomposition of Herz-type Hardy spaces for the Dunkl operator ⋮ Variable Herz estimates for fractional integral operators ⋮ \(\lambda \)-central \(BMO\) estimates for commutators of singular integral operators with rough kernels ⋮ Bilinear operators on Herz-type Hardy spaces ⋮ Sharp maximal inequalities and its application to some bilinear estimates ⋮ Some estimates for Bochner-Riesz operators on the weighted Herz-type Hardy spaces ⋮ A T(b) type theorem on the weighted Herz-type Hardy spaces and applications ⋮ Commutators of \(n\)-dimensional rough Hardy operators ⋮ Some estimates of intrinsic square functions on the weighted Herz-type Hardy spaces ⋮ Remarks on Herz-type Hardy spaces ⋮ Two-weighted inequalities for Hausdorff operators in Herz-type Hardy spaces ⋮ Maximal characterizations of Herz type Hardy spaces on homogeneous groups ⋮ Boundedness of some bilinear operators on variable Herz-type Hardy spaces ⋮ Bilinear operators on Herz-type Hardy spaces on locally compact Vilenkin groups

Cites Work

• Unnamed Item
• Some new classes of Hardy spaces
• The decomposition of weighted Herz space on \(\mathbb{R}^ n\) and its applications
• The weighted Herz-type Hardy space and its applications
• Compensated compactness and Hardy spaces
• \(H^p\) spaces of several variables
• Extensions of Hardy spaces and their use in analysis
• On Weak Convergence in H 1 ( R d )
• A primer on hardy spaces, and some remarks on a theorem of evans and müller
• The Littlewood-Paley function and φ-trans-form characterizations of a new Hardy space HK₂ associated with the Herz space
• Hardy Spaces and Beurling Algebras
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• A real variable characterization of $H^{p}$
• Hardy-Littlewood-Sobolev Theorems of Fractional Integration on Herz-Type Spaces and its Applications

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