Boundedness of fractional integrals in Hardy spaces with non-doubling measure

DOI10.1007/BF03218712zbMath1283.42021OpenAlexW2061203566MaRDI QIDQ5435253

Yixin Lai, Chen, Wengu

Publication date: 14 January 2008

Published in: Analysis in Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03218712

Mathematics Subject Classification ID

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

Related Items (2)

Endpoint estimates for multilinear fractional integrals with non-doubling measures ⋮ Molecular characterization of anisotropic weak Musielak-Orlicz Hardy spaces and their applications

Cites Work

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• Accretive system \(Tb\)-theorems on nonhomogeneous spaces.
• The \(Tb\)-theorem on non-homogeneous spaces.
• The space $H^1$ for nondoubling measures in terms of a grand maximal operator
• A primer on hardy spaces, and some remarks on a theorem of evans and müller
• Two-weight norm inequalities for maximal operators and fractional integrals on non-homogenous spaces
• New atomic characterization of $\hbox{\itshape H}^{\hbox{\scriptsize 1}}$ space with non-doubling measures and its applications
• BMO, \(H^1\), and Calderón-Zygmund operators for non doubling measures
• A proof of the weak \((1,1)\) inequality for singular integrals with non doubling measures based on a Calderón-Zygmund decomposition
• Littlewood-Paley theory and the \(T(1)\) theorem with non-doubling measures

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