Integrability of the Fourier transforms of measures concentrated on hypersurfaces

DOI10.1007/s10688-015-0108-xzbMath1333.42011OpenAlexW2178544934MaRDI QIDQ903416

Isroil A. Ikromov

Publication date: 6 January 2016

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-015-0108-x

zbMATH Keywords

measuresasymptoticsFourier transformsintegrabilityhypersurfacesGaussian curvatureRandol-type maximal functions

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Related Items (1)

Randol maximal functions and the integrability of the Fourier transform of measures

Cites Work

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• Summability of oscillatory integrals over parameters and the boundedness problem for Fourier transforms on curves
• On the Fourier transform of the characteristic functions of domains with \(C^1\) boundary
• Singularities of differentiable maps, Volume 1. Classification of critical points, caustics and wave fronts. Transl. from the Russian by Ian Porteous, edited by V. I. Arnol'd
• Commutative harmonic analysis III. Generalized functions. Applications. Transl. from the Russian by R. Cooke
• Estimates for the Fourier transform of the indicator function for nonconvex domains
• Decay of the Fourier transform of surfaces with vanishing curvature
• TRIGONOMETRIC INTEGRALS
• On the Asymptotic Behavior of the Fourier Transform of the Indicator Function of a Convex Set

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