Universal \(L^p\) improving for averages along polynomial curves in low dimensions

DOI10.1016/j.jfa.2009.05.011zbMath1177.42009arXiv0805.4344OpenAlexW2089612328MaRDI QIDQ837060

James Wright, Norberto Laghi, Spyridon Dendrinos

Publication date: 10 September 2009

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

Full work available at URL: https://arxiv.org/abs/0805.4344

zbMATH Keywords

averaging operatorsuniversal boundspolynomial curves

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20)

Related Items (18)

Some subcritical estimates for the \(\ell^p\)-improving problem for discrete curves ⋮ Endpoint \(L^p \rightarrow L^q\) bounds for integration along certain polynomial curves ⋮ Uniform convolution estimates for complex polynomial curves in \(\mathbb{C}^3\) ⋮ 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 ⋮ Uniform sublevel Radon-like inequalities ⋮ \(L^p\) improving multilinear Radon-like transforms ⋮ An algebraic Brascamp-Lieb inequality ⋮ Restriction of the Fourier transform to some complex curves ⋮ Uniform Lorentz norm estimates for convolution operators ⋮ $L^p$-nondegenerate Radon-like operators with vanishing rotational curvature ⋮ An affine-invariant inequality for rational functions and applications in harmonic analysis ⋮ Convolution with measures on flat curves in low dimensions ⋮ Uniform bounds for convolution and restricted X-ray transforms along degenerate curves ⋮ Reversing a philosophy: from counting to square functions and decoupling ⋮ Generalized curvature for certain Radon-like operators of intermediate dimension ⋮ On the Oberlin affine curvature condition

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