Boundedness of Marcinkiewicz integral on Triebel-Lizorkin spaces
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Publication:622477
DOI10.1007/S11766-010-2086-3zbMath1224.42063OpenAlexW2038543898MaRDI QIDQ622477
Publication date: 5 February 2011
Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11766-010-2086-3
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25)
Related Items (10)
A note on Marcinkiewicz integrals supported by submanifolds ⋮ Boundedness of oscillatory singular integrals with rough kernels on Triebel-Lizorkin spaces ⋮ Boundedness and continuity of Marcinkiewicz integrals associated to homogeneous mappings on Triebel-Lizorkin spaces ⋮ Integral operators of Marcinkiewicz type on Triebel-Lizorkin spaces ⋮ ROUGH MAXIMAL SINGULAR INTEGRAL AND MAXIMAL OPERATORS SUPPORTED BY SUBVARIETIES ⋮ Rough maximal functions supported by subvarieties on Triebel-Lizorkin spaces ⋮ A NOTE ON MARCINKIEWICZ INTEGRALS ASSOCIATED TO SURFACES OF REVOLUTION ⋮ Marcinkiewicz integrals with rough kernels in \(H^1(S^{n-1})\) ⋮ Triebel-Lizorkin space boundedness of Marcinkiewicz integrals associated to surfaces ⋮ Estimates of three classical summations on the spaces \(\dot{F}^{\alpha,q}_p(\mathbb R^n)(0<p\leq 1)\)
Cites Work
- Boundedness of \(g\)-functions on Triebel-Lizorkin spaces
- A note on the Marcinkiewicz integral operators on \(F_p ^{\alpha,q^*}\)
- Rough singular integrals on Triebel-Lizorkin space and Besov space
- Maximal and singular integral operators via Fourier transform estimates
- A class of bounded operators on Sobolev spaces
- Boundedness of rough singular integral operators on the Triebel-Lizorkin spaces
- Boundedness of rough oscillatory singular integral on Triebel--Lizorkin spaces
- \(L^p\)-boundedness of Marcinkiewicz integrals with Hardy space function kernels
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