A note on Marcinkiewicz integrals with \(H^1\) kernels

DOI10.1016/S0252-9602(17)30154-6zbMath1040.42016OpenAlexW2783007245MaRDI QIDQ1871523

Han Xu, Jiecheng Chen, Yiming Ying

Publication date: 24 September 2003

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(17)30154-6

zbMATH Keywords

\(L^p\)-boundednessMarcinkiewicz integralMarcinkiewicz integral operator\(H^1\) kernel

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Multipliers for harmonic analysis in several variables (42B15)

Related Items (11)

A new class of weights adapted to rough singular integrals and Marcinkiewicz integrals ⋮ A note on certain block spaces on the unit sphere ⋮ Continuity of Marcinkiewicz integrals on homogeneous Morrey-Herz spaces ⋮ On weighted boundedness and compactness of commutators of Marcinkiewicz integral associated with Schrödinger operators ⋮ Commutators of Marcinkiewicz integrals associated with Schrödinger operator on generalized weighted Morrey spaces ⋮ Commutators of Marcinkiewicz integral with rough kernels on generalized weighted Morrey spaces ⋮ A note on the Marcinkiewicz integral operators on \(F_p ^{\alpha,q^*}\) ⋮ A note on parameterized Marcinkiewicz integrals with variable kernels ⋮ Unnamed Item ⋮ Cbmo estimates for Marcinkiewicz integrals on homogeneous Morrey-Herz spaces ⋮ Boundedness of Marcinkiewicz integrals with mixed homogeneity along compound surfaces

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