Homogeneous fractional integrals on Hardy spaces

DOI10.2748/tmj/1178224663zbMath0959.42011OpenAlexW2082824507MaRDI QIDQ1572917

Lu, Shanzhen, Ding, Yong

Publication date: 23 April 2001

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178224663

zbMATH Keywords

Hardy spacefractional integralDini condition\(H^p\) spacehomogeneous kernel

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) (H^p)-spaces (42B30)

Related Items (28)

Some maximal operators related to families of singular integral operators ⋮ Multilinear singular and fractional integrals on weighted Hardy spaces ⋮ Weighted endpoint estimates for commutators of Marcinkiewicz integrals ⋮ The boundedness for commutator of fractional integral operator with rough variable kernel ⋮ Fractional integrals on weighted Hardy spaces ⋮ Commutators for certain fractional type operators on weighted spaces and Orlicz-Morrey spaces ⋮ $L^p$ compactness for Calderón type commutators ⋮ Boundedness of sublinear operators with rough kernels on weighted Morrey spaces ⋮ Boundedness of some sublinear operators and their commutators on generalized local Morrey spaces ⋮ Marcinkiewicz integrals on weighted weak Hardy spaces ⋮ Fractional integrals with variable kernels on Hardy spaces ⋮ Parametrized area integrals on Hardy spaces and weak Hardy spaces ⋮ \(\lambda \)-central \(BMO\) estimates for commutators of singular integral operators with rough kernels ⋮ Variation inequalities for rough singular integrals and their commutators on Morrey spaces and Besov spaces ⋮ Commutators of the fractional integrals for second-order elliptic operators on Morrey spaces ⋮ Some inequalities for homogeneous $B_n$-potential type integrals on $H^{p}_{\Delta_{\nu}}$ Hardy spaces ⋮ The Dirac equation in two dimensions: dispersive estimates and classification of threshold obstructions ⋮ A characterization of Campanato space via commutator of fractional integral ⋮ Boundedness of parammetric Marcinkiewicz integrals on weighted Hardy spaces ⋮ Weak type \((1,1)\) behavior for the maximal operator with \(L^{1}\)-Dini kernel ⋮ Commutators of homogeneous fractional integrals on Herz-type Hardy spaces with variable exponent ⋮ Weak type \((H^1,L^1)\) estimate for commutator of Marcinkiewicz integral ⋮ Boundedness for parametrized Littlewood-Paley operators with rough kernels on weighted weak Hardy spaces ⋮ On Marcinkiewicz integral with homogeneous kernels ⋮ Boundedness of Marcinkiewicz integral on the weighted Herz-type Hardy spaces ⋮ Boundedness of fractional integrals on weighted Orlicz-Hardy spaces ⋮ Continuity of higher order commutators on certain Hardy spaces ⋮ Commutators of integral operators with variable kernels on Hardy spaces

Cites Work

• Unnamed Item
• Unnamed Item
• On the theory of harmonic functions of several variables
• Maximal and singular integral operators via Fourier transform estimates
• The \(L^{p_ 1} \times L^{p_ 2} \times \cdots \times L^{p_ k}\) boundedness for some rough operators
• Hardy spaces estimates for a class of multilinear homogeneous operators
• Weighted Norm Inequalities for Fractional Integral Operators With Rough Kernel
• Results on Weighted Norm Inequalities for Multipliers
• Some integral and maximal operators related to starlike sets
• Weak type bounds for a class of rough operators with power weights
• Weighted Norm Inequalities for Singular and Fractional Integrals

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