Convolution and fractional integration with measures on homogeneous curves in \(\mathbb R^n\)

DOI10.4310/MRL.2004.V11.N6.A11zbMath1129.42345MaRDI QIDQ1769993

Philip T. Gressman

Publication date: 5 April 2005

Published in: Mathematical Research Letters (Search for Journal in Brave)

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Multipliers for harmonic analysis in several variables (42B15) Fractional derivatives and integrals (26A33)

Related Items (7)

The \(L^{p} \rightarrow L^{q}\) estimates for degenerate Radon transforms in \(\mathbb{C}^2\) ⋮ Endpoint \(L^p \rightarrow L^q\) bounds for integration along certain polynomial curves ⋮ Convolution estimates for measures on some complex curves ⋮ Bilinear fractional integral along homogeneous curves ⋮ 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

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