The \(L^{p_ 1} \times L^{p_ 2} \times \cdots \times L^{p_ k}\) boundedness for some rough operators

DOI10.1006/jmaa.1996.0373zbMath0882.42010OpenAlexW2050862649MaRDI QIDQ1815473

Lu, Shanzhen, Ding, Yong

Publication date: 9 December 1996

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1996.0373

zbMATH Keywords

rough kernelsingular integralmaximal operatorfractional integral

Mathematics Subject Classification ID

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

Related Items (10)

Weighted Trudinger inequality associated with rough multilinear fractional type operators ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Some inequalities for homogeneous $B_n$-potential type integrals on $H^{p}_{\Delta_{\nu}}$ Hardy spaces ⋮ Weak type \((1,1)\) behavior for the maximal operator with \(L^{1}\)-Dini kernel ⋮ Necessary and sufficient conditions for the boundedness of rough multilinear fractional operators on Morrey-type spaces ⋮ Boundedness of homogeneous fractional integrals on L^p for N/α ≤ P ≤ ∞ ⋮ Necessary and sufficient conditions for boundedness of multilinear fractional integrals with rough kernels on Morrey type spaces ⋮ Boundedness of homogeneous fractional integral operator on Morrey space ⋮ Homogeneous fractional integrals on Hardy spaces

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