Boundedness of parabolic singular integrals and Marcinkiewicz integrals on Triebel-Lizorkin spaces

DOI10.1007/S10496-011-0059-XzbMath1250.42054OpenAlexW2008513735MaRDI QIDQ2886084

Yao Ming Niu, Shuang Ping Tao

Publication date: 1 June 2012

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

Full work available at URL: https://doi.org/10.1007/s10496-011-0059-x

zbMATH Keywords

rough kernelMarcinkiewicz integralTriebel-Lizorkin spaceparabolic singular integral

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35)

Cites Work

• Unnamed Item
• On hyper-singular integral operators with variable kernels
• Singular integrals with mixed homogeneity in Triebel-Lizorkin spaces
• Singular integral operators, Morrey spaces and fine regularity of solutions to PDEs
• \(L^p\) bounds for the function of Marcinkiewicz.
• Singular integral operators on function spaces
• On the boundedness of maximal operators and singular operators with kernels in \(L(^{\log L)^{\alpha }}(S^{n - 1})\)
• Boundedness of rough singular integral operators on the homogeneous Morrey-Herz spaces
• On Singular Integrals
• CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS
• Maximal functions: Homogeneous curves
• On Hilbert Transforms Along Curves. II
• L^pBOUNDS FOR THE PARABOLIC MARCINKIEWICZ INTEGRAL WITH ROUGH KERNELS
• Singular integrals with mixed homogeneity
• \(L^p\)-boundedness of Marcinkiewicz integrals with Hardy space function kernels

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