Uniform \(L^p\)-improving for weighted averages on curves

DOI10.2140/apde.2014.7.1109zbMath1302.44003arXiv1710.07677OpenAlexW2964267542MaRDI QIDQ459056

Betsy Stovall

Publication date: 8 October 2014

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.07677

zbMATH Keywords

convolutiongeneralized Radon transformaffine arclength

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Radon transform (44A12)

Related Items (6)

Real analytic multi-parameter singular Radon transforms: Necessity of the Stein-Street condition ⋮ Coordinates adapted to vector fields: canonical coordinates ⋮ Uniform \(L_x^p - L_{x, r}^q\) improving for dilated averages over polynomial curves ⋮ Uniform bounds for convolution and restricted X-ray transforms along degenerate curves ⋮ Generalized curvature for certain Radon-like operators of intermediate dimension ⋮ On the Oberlin affine curvature condition

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