Convolution with measures on flat curves in low dimensions
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Publication:990168
DOI10.1016/J.JFA.2010.05.008zbMath1203.42024arXiv0911.1471OpenAlexW2962892322MaRDI QIDQ990168
Publication date: 6 September 2010
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0911.1471
Related Items (7)
Convolution estimates related to space curves ⋮ Endpoint \(L^p \rightarrow L^q\) bounds for integration along certain polynomial curves ⋮ Convolution estimates for measures on some complex curves ⋮ Uniform estimates for the X-ray transform restricted to polynomial curves ⋮ Uniform Lorentz norm estimates for convolution operators ⋮ Uniform estimates for damped Radon transform on the plane ⋮ Uniform bounds for convolution and restricted X-ray transforms along degenerate curves
Cites Work
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- The Fourier extension operator on large spheres and related oscillatory integrals
- Fourier restriction theorems for curves with affine and Euclidean arclengths
- Fourier restriction theorems for degenerate curves
- Convolution with affine arclength measures in the plane
- The Lp-Lp mapping properties of convolution operators with the affine arclength measure on space curves
- Convolution Estimates for Some Measures on Curves
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