An \(L^p-L^q\) estimate for Radon transforms associated to polynomials

DOI10.1215/S0012-7094-00-10125-1zbMath0980.42008OpenAlexW2017306751MaRDI QIDQ1976045

Jong-Guk Bak

Publication date: 19 February 2002

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-00-10125-1

zbMATH Keywords

Radon transform\(L^p-L^q\) estimate

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Multipliers for harmonic analysis in several variables (42B15) Radon transform (44A12) (H^p)-spaces (42B30)

Related Items (7)

Sharp \(L^{p}\)-boundedness of oscillatory integral operators with polynomial phases ⋮ Uniform sublevel Radon-like inequalities ⋮ Two endpoint bounds for generalized Radon transforms in the plane ⋮ Uniform estimates for damped Radon transform on the plane ⋮ Some convolution inequalities and their applications ⋮ $L^p$ improving estimates for some classes of Radon transforms ⋮ Generalized curvature for certain Radon-like operators of intermediate dimension

Cites Work

• Degenerate Fourier integral operators in the plane
• Oscillatory integrals related to Radon-like transforms
• The Newton polyhedron and oscillatory integral operators
• Models of degenerate Fourier integral operators and Radon transforms
• On the Restriction of The Fourier Transform to Curves: Endpoint Results and The Degenerate Case
• Multilinear proofs for two theorems on circular averages
• Radon transforms and finite type conditions
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