On a Class of Singular Integral Operators With Rough Kernels

DOI10.4153/CMB-2006-001-9zbMath1140.42002MaRDI QIDQ5477536

Ahmad Al-Salman

Publication date: 5 July 2006

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

zbMATH Keywords

Singular integralsRough kernelsBlock spacesSquare functions

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 (12)

Maximal operator with rough kernel in variable Musielak-Morrey-Orlicz type spaces, variable Herz spaces and grand variable Lebesgue spaces ⋮ Rough Singular Integral Operators along Submanifolds ⋮ Rough maximal functions supported by subvarieties on Triebel-Lizorkin spaces ⋮ A unifying approach for certain class of maximal functions ⋮ On the boundedness of a certain class of maximal functions on product spaces and extrapolation ⋮ On maximal and potential operators with rough kernels in variable exponent spaces ⋮ Maximal functions associated to surfaces of revolution on product domains ⋮ Mixed radial-angular integrability for rough maximal operators ⋮ Boundedness and continuity of maximal operators associated to polynomial compound curves on Triebel-Lizorkin spaces ⋮ On rough singular integrals along real-analytic submanifolds ⋮ Weighted estimates for rough maximal functions with applications to angular integrability ⋮ Rough singular integrals and maximal operators with mixed homogeneity along compound curves

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