Endpoint \(L^p \rightarrow L^q\) bounds for integration along certain polynomial curves

DOI10.1016/J.JFA.2010.08.008zbMath1209.44003arXiv1710.07668OpenAlexW2963664932MaRDI QIDQ609351

Betsy Stovall

Publication date: 30 November 2010

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.07668

zbMATH Keywords

convolutionLorentz spacesgeneralized Radon transformaffine arclengthpolynomial curves

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Radon transform (44A12) Convolution, factorization for one variable harmonic analysis (42A85)

Related Items (12)

The \(L^{p} \rightarrow L^{q}\) estimates for degenerate Radon transforms in \(\mathbb{C}^2\) ⋮ Some subcritical estimates for the \(\ell^p\)-improving problem for discrete curves ⋮ Convolution estimates for measures on some complex curves ⋮ Uniform \(L_x^p - L_{x, r}^q\) improving for dilated averages over polynomial curves ⋮ Uniform estimates for the X-ray transform restricted to polynomial curves ⋮ \(L^p\) improving multilinear Radon-like transforms ⋮ An algebraic Brascamp-Lieb inequality ⋮ Restriction of the Fourier transform to some complex curves ⋮ Convolution with measures on flat curves in low dimensions ⋮ Uniform bounds for convolution and restricted X-ray transforms along degenerate curves ⋮ \(L^p\)-improving estimates for Radon-like operators and the Kakeya-Brascamp-Lieb inequality ⋮ Generalized curvature for certain Radon-like operators of intermediate dimension

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