Weighted \(L^p\) boundedness of Marcinkiewicz integral

DOI10.1007/S00020-002-1204-XzbMath1050.42015OpenAlexW2085001559MaRDI QIDQ1882432

Chin-Cheng Lin, Ming-Yi Lee

Publication date: 1 October 2004

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-002-1204-x

zbMATH Keywords

area integralHardy spacerough kernelboundednessweighted norm inequality\(g\)-functionMarcinkiewicz integral operator

Mathematics Subject Classification ID

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

Related Items (5)

A new class of weights adapted to rough singular integrals and Marcinkiewicz integrals ⋮ A class of maximal functions with oscillating kernels ⋮ On weighted inequalities for parametric Marcinkiewicz integrals ⋮ The boundedness of Marcinkiewicz integral with variable kernel ⋮ Boundedness of the Marcinkiewicz integrals with rough kernel associated to surfaces

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