On the Generalized Marcinkiewicz Integral Operators with Rough Kernels

DOI10.4153/CMB-2010-085-3zbMath1217.42030OpenAlexW3021221198MaRDI QIDQ3086070

Fan, Dashan, Huo Xiong Wu

Publication date: 29 March 2011

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cmb-2010-085-3

zbMATH Keywords

rough kernelLittlewood-Paley theoryMarcinkiewicz integralproduct domainTriebel-Lizorkin space

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) (H^p)-spaces (42B30) Harmonic analysis in several variables (42B99)

Related Items (9)

Fractional type Marcinkiewicz integrals over non-homogeneous metric measure spaces ⋮ Generalized Littlewood-Paley functions on product spaces ⋮ Estimates for certain class of rough generalized Marcinkiewicz functions along submanifolds ⋮ Inequalities for generalized parametric Marcinkiewicz integrals along polynomial compound curves ⋮ A note on the generalized Marcinkiewicz integral operators with rough kernels ⋮ Unnamed Item ⋮ A NOTE ON GENERALIZED PARAMETRIC MARCINKIEWICZ INTEGRALS ⋮ On generalized Littlewood-Paley functions ⋮ Generalized parabolic Marcinkiewicz integrals associated with polynomial compound curves with rough kernels

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