Fractional integrals on weighted Hardy spaces

DOI10.1016/S0022-247X(03)00167-7zbMath1031.42014MaRDI QIDQ1399399

Ming-Yi Lee, Chin-Cheng Lin, Ding, Yong

Publication date: 30 July 2003

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

zbMATH Keywords

atomic decompositionweighted Hardy spacesfractional integrals\(A_p\) weights\(L^r\)-Dini condition

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Integral operators (47G10) (H^p)-spaces (42B30)

Related Items (9)

Boundedness of Some Commutators of Marcinkiewicz Integrals on Hardy Spaces ⋮ Multilinear singular and fractional integrals on weighted Hardy spaces ⋮ A note on H w p -boundedness of Riesz transforms and θ -Calderón-Zygmund operators through molecular characterization ⋮ Commutators for certain fractional type operators on weighted spaces and Orlicz-Morrey spaces ⋮ The fractional type Marcinkiewicz integrals and commutators on weighted Hardy spaces ⋮ Inequalities for weighted spaces with variable exponents ⋮ The weighted \(H^p\) estimates for commutators of fractional integrals ⋮ Variable Exponent Herz-Morrey-Hardy Spaces Characterized by Wavelets and Its Application ⋮ Boundedness of fractional integrals on special John-Nirenberg-Campanato and Hardy-type spaces via congruent cubes

Cites Work

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• Homogeneous fractional integrals on Hardy spaces
• The molecular characterization of weighted Hardy spaces
• Fractional Integrals on Weighted H p and L p Spaces
• Weighted integral inequalities for the nontangential maximal function, Lusin area integral, and Walsh-Paley series
• Weighted Norm Inequalities for Fractional Integral Operators With Rough Kernel
• Results on Weighted Norm Inequalities for Multipliers
• Weighted Norm Inequalities for Singular and Fractional Integrals

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