Estimates of averages of Fourier transforms with respect to general measures

DOI10.1017/S0308210500002754zbMath1051.42011OpenAlexW1982116108MaRDI QIDQ4462193

Fernando Soria, Per Sjoelin

Publication date: 18 May 2004

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500002754

zbMATH Keywords

Fourier transformHausdorff dimensionfractional integralrestriction theorem

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Hausdorff and packing measures (28A78)

Related Items (5)

Spherical harmonics and spherical averages of Fourier transforms ⋮ On Falconer's distance set conjecture ⋮ On the dimension of divergence sets of dispersive equations ⋮ Examples of measures with slow decay of the spherical means of the Fourier transform ⋮ Average decay of the Fourier transform of measures with applications

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