$L^p$ regularity of averaging operators with higher fold singularities

DOI10.1090/S0002-9939-02-06559-0zbMath1012.44001OpenAlexW1791048303MaRDI QIDQ4779851

Chan Woo Yang

Publication date: 28 October 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06559-0

zbMATH Keywords

radon transform\(k\)-fold singularitynonisotropical ball

Mathematics Subject Classification ID

Radon transform (44A12) Fourier integral operators applied to PDEs (35S30)

Cites Work

• Degenerate Fourier integral operators in the plane
• Maximal operators associated to families of flat curves in the plane
• \(L^2\) estimates for averaging operators along curves with two-sided \(k\)-fold singularities
• Models of degenerate Fourier integral operators and Radon transforms
• A method for proving \(L^p\)-boundedness of singular Radon transforms in codimension 1
• Radon transforms and finite type conditions
• Unnamed Item

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