BOUNDEDNESS OF SEVERAL INTEGRAL OPERATORS WITH BOUNDED VARIABLE KERNELS ON HARDY AND WEAK HARDY SPACES

DOI10.1142/S0129167X1350095XzbMath1284.42046MaRDI QIDQ5401588

Hua Wang

Publication date: 10 March 2014

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

singular integral operatorfractional integralvariable kernelparametric Marcinkiewicz integralHardy space \(H^{1}(\mathbb R^{n})\)weak Hardy space \(WH^{1}(\mathbb R^{n})\)

Mathematics Subject Classification ID

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

Related Items (9)

Estimates of some integral operators with bounded variable kernels on the Hardy and weak Hardy spaces over \(\mathbb{R}^n\) ⋮ Littlewood-Paley characterizations of anisotropic Hardy-Lorentz spaces ⋮ Anisotropic Hardy-Lorentz spaces and their applications ⋮ Real-variable characterizations of Hardy-Lorentz spaces on spaces of homogeneous type with applications to real interpolation and boundedness of Calderón-Zygmund operators ⋮ Weak Musielak-Orlicz Hardy spaces and applications ⋮ Weighted estimates of variable kernel fractional integral and its commutators on vanishing generalized Morrey spaces with variable exponent ⋮ Intrinsic square function characterizations of variable weak Hardy spaces ⋮ Molecular characterization of anisotropic weak Musielak-Orlicz Hardy spaces and their applications ⋮ Weak type estimates of variable kernel fractional integral and their commutators on variable exponent Morrey spaces

Cites Work

• Estimates for translation invariant operators in \(L^p\) spaces
• On Singular Integrals
• On singular integrals with variable kernels
• On Marcinkiewicz integral with variable kernels
• On a Problem of Mihlin
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• Unnamed Item

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