Parabolic Marcinkiewicz integrals along surfaces on product domains

DOI10.1007/S10114-010-9653-7zbMath1239.42010OpenAlexW2120240044MaRDI QIDQ546266

Ahmad Al-Salman

Publication date: 24 June 2011

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-010-9653-7

zbMATH Keywords

Fourier transformparabolic maximal functionsrough kernelsparabolic Marcinkiewicz integral operators

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Multipliers for harmonic analysis in several variables (42B15)

Related Items (11)

Multiple singular integrals and maximal operators related to homogeneous mappings ⋮ Parabolic Marcinkiewicz integrals on product spaces and extrapolation ⋮ BOUNDS FOR NONISOTROPIC MARCINKIEWICZ INTEGRALS ASSOCIATED TO SURFACES ⋮ \(L^p\) bounds for Marcinkiewicz integrals associated to homogeneous mappings ⋮ Rough Marcinkiewicz integrals with mixed homogeneity on product spaces ⋮ Multiple parametric Marcinkiewicz integrals with mixed homogeneity along surfaces ⋮ L^p boundedness for maximal singular integrals with mixed homogeneity along compounds curves ⋮ On the compactness of the commutator of the parabolic Marcinkiewicz integral with variable kernel ⋮ Boundedness and continuity of maximal operators associated to polynomial compound curves on Triebel-Lizorkin spaces ⋮ Rough singular integrals and maximal operators with mixed homogeneity along compound curves ⋮ Boundedness of Marcinkiewicz integrals with mixed homogeneity along compound surfaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multiple singular integrals and maximal functions along hypersurfaces
• Harmonic analysis on nilpotent groups and singular integrals. I: Oscillatory integrals
• \(L^2\)-boundedness of a Marcinkiewicz integral with rough kernel
• On the \(L^ p\) boundedness of Marcinkiewicz integrals.
• Integral operators of Marcinkiewicz type
• Maximal functions along surfaces on product domains
• On the Functions of Littlewood-Paley, Lusin, and Marcinkiewicz
• Remarks on square functions in the Littlewood-Paley theory
• Marcinkiewicz integrals on product spaces
• L^pBOUNDS FOR THE PARABOLIC MARCINKIEWICZ INTEGRAL WITH ROUGH KERNELS
• Singular integrals with mixed homogeneity
• On the function of Marcinkiewicz
• \(L^p\)-boundedness of Marcinkiewicz integrals with Hardy space function kernels
• Marcinkiewicz integrals with rough homogeneous kernels of degree zero in product domains

This page was built for publication: Parabolic Marcinkiewicz integrals along surfaces on product domains