On the capacity of sets of divergence associated with the spherical partial integral operator

DOI10.1090/S0002-9947-02-03144-6zbMath1035.42003MaRDI QIDQ4787467

Emmanuel Montini

Publication date: 7 January 2003

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

convergence of Fourier seriesRiesz meansBessel potentialssets of divergence

Mathematics Subject Classification ID

Fourier series and coefficients in several variables (42B05) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (5)

Localization for Riesz means of Fourier expansions ⋮ On the dimension of divergence sets of dispersive equations ⋮ Equiconvergence theorems for Sturm Liouville expansions and sets of divergence for Bochner Riesz means in Sobolev spaces ⋮ The capacity of sets of divergence of certain Taylor series on the unit circle ⋮ Fourier expansions of functions with bounded variation of several variables

Cites Work

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• Convergence and Divergence Almost Everywhere of Spherical Means for Radial Functions
• Maximal operators defined by Fourier multipliers
• The weak-type endpoint Bochner-Riesz conjecture and related topics
• Estimates of spherial averages of Fourier transforms and dimensions of sets
• Capacity of Sets and Fourier Series

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