Estimates for twisted convolution operators with singularities of kernels on a sphere and at the origin

DOI10.1134/S0012266106050119zbMath1152.45009MaRDI QIDQ2371645

V. A. Nogin, Alexey N. Karapetyants

Publication date: 5 July 2007

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

singular kernel

Mathematics Subject Classification ID

Integral operators (45P05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (1)

Estimates for some convolution operators with singularities in their kernels on a sphere with applications

Cites Work

• Unnamed Item
• Estimates for translation invariant operators in \(L^p\) spaces
• Asymmetry of twisted convolution operators
• Harmonic analysis on nilpotent groups and singular integrals. I: Oscillatory integrals
• Hilbert integrals, singular integrals, and Radon transforms. I
• On \(\mathcal L\) characteristic of some potential type operators with oscillating symbols and singularities of the kernels on a sphere
• \(H^p\) spaces of several variables
• On L_p-L_qboundedness for convolutions with kernels having singularities on a sphere
• On the boundedness of some potential‐type operators with oscillating kernels
• A boundedness result for twisted convolution

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