Herz-type Hardy spaces on Vilenkin groups and their applications

DOI10.1007/BF02897140zbMath0957.43002MaRDI QIDQ1585595

Fan, Dashan, Da Chun Yang

Publication date: 16 November 2000

Published in: Science in China. Series A (Search for Journal in Brave)

zbMATH Keywords

Hardy spaceblockatomlocally compact groupweightfractional integralVilenkin groupHerz space

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) (H^p)-spaces (42B30) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Analysis on ordered groups, (H^p)-theory (43A17)

Related Items (6)

Littlewood-Paley and pseudo-differential operators on Herz-type spaces over Vilenkin groups ⋮ Applications of Hardy spaces associated with ball quasi-Banach function spaces ⋮ Weighted CBMO estimates for commutators of matrix Hausdorff operator on the Heisenberg group ⋮ Calderón-Zygmund operators on Morrey and Hardy-Morrey spaces in locally compact Vilenkin 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

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• Some new classes of Hardy spaces
• A local version of real Hardy spaces
• The decomposition of Herz spaces on local fields and its applications
• Opérateurs pseudo-différentiels sur certains groupes totalement discontinus
• Multipliers on Weighted L p -Spaces Over Certain Totally Disconnected Groups
• Fourier Analysis on Local Fields. (MN-15)
• Multipliers for weighted Hardy spaces on locally compact Vilenkin groups
• Some new Hardy spaces on locally compact Vilenkin groups
• Hardy Spaces and Beurling Algebras
• Weighted Triebel‐Lizorkin Spaces on Locally Compact Vilenkin Groups

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