Localisation and weighted inequalities for spherical Fourier means

DOI10.1007/s11854-008-0004-xzbMath1161.42005OpenAlexW2035248554MaRDI QIDQ926377

Fernando Soria, Anthony Carbery, Ana M. Vargas

Publication date: 27 May 2008

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11854-008-0004-x

zbMATH Keywords

localisationSpherical Fourier means

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Multipliers for harmonic analysis in several variables (42B15) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (13)

Distribution of random Cantor sets on tubes ⋮ Localization for Riesz means of Fourier expansions ⋮ Mizohata–Takeuchi estimates in the plane ⋮ A bilinear extension inequality in two dimensions. ⋮ A Stein conjecture for the circle ⋮ Some remarks on localization of Schrödinger means ⋮ The Koch snowflake curve is tube-null ⋮ Equiconvergence theorems for Sturm Liouville expansions and sets of divergence for Bochner Riesz means in Sobolev spaces ⋮ Spatially independent martingales, intersections, and applications ⋮ Tomography bounds for the Fourier extension operator and applications ⋮ Sets which are not tube null and intersection properties of random measures ⋮ On Ahlfors–David regular weighted bounds for the extension operator associated to the circle ⋮ Localisation of Bochner Riesz means on sets of positive Hausdorff dimension in \mathbb{R}^d

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• A NOTE ON LOCALISED WEIGHTED INEQUALITIES FOR THE EXTENSION OPERATOR
• Maximal operators defined by Fourier multipliers
• The Kakeya Maximal Function and the Spherical Summation Multipliers
• Sets of divergence for the localization problem for Fourier integrals
• PROBLEMS OF LOCALIZATION AND CONVERGENCE FOR FOURIER SERIES IN FUNDAMENTAL SYSTEMS OF FUNCTIONS OF THE LAPLACE OPERATOR

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