Some estimates for convolution operators with kernels of type \((l, r)\) on homogeneous groups

DOI10.1007/s10114-004-0507-zzbMath1087.42009OpenAlexW2094973553MaRDI QIDQ2581180

Lin Tang, Ming Ju Liu, Yin Sheng Jiang

Publication date: 9 January 2006

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

Full work available at URL: https://doi.org/10.1007/s10114-004-0507-z

zbMATH Keywords

Hardy spaceLebesgue spaceHerz spacepower weighthomogeneous groupskernel of type \((l,r)\)

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) (H^p)-spaces (42B30) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items (1)

Meda inequality for rearrangements of the convolution on the Heisenberg group and some applications

Cites Work

• Unnamed Item
• Some new classes of Hardy spaces
• New Hardy spaces associated with Herz spaces and Beurling algebras on homogeneous groups
• Weighted Inequalities for Fractional Integrals on Euclidean and Homogeneous Spaces
• A Theory of Hardy Spaces Associated to the Herz Spaces
• The Littlewood-Paley function and φ-trans-form characterizations of a new Hardy space HK₂ associated with the Herz space
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Hardy-Littlewood-Sobolev Theorems of Fractional Integration on Herz-Type Spaces and its Applications

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