Almost everywhere convergence of Bochner-Riesz means on Hardy-Sobolev spaces

DOI10.1007/s11464-020-0107-yzbMath1525.42020OpenAlexW4378417736MaRDI QIDQ6058433

Fan, Dashan, Fa You Zhao

Publication date: 1 November 2023

Published in: Frontiers of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-020-0107-y

zbMATH Keywords

maximal functionsBochner-Riesz meansalmost everywhere convergenceHardy-Sobolev spaces

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35) Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Cites Work

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• Almost-everywhere convergence of Fourier integrals for functions in Sobolev spaces, and an \(L^ 2\)-localisation principle
• Improved bounds for Bochner-Riesz and maximal Bochner-Riesz operators
• On limits of sequences of operators
• On Fejér and Bochner-Riesz means
• A theory of entropy in Fourier analysis
• \(L^ p\)-estimates for oscillatory integrals in several variables
• Spaces generated by smooth blocks
• Block-Sobolev spaces and the rate of almost everywhere convergence of Bochner-Riesz means
• On the maximal Bochner-Riesz conjecture in the plane for 𝑝<2
• On Almost Everywhere Convergence of Bochner-Riesz Means in Higher Dimensions
• A characterization of $H^{p}(R^{n})$ in terms of atoms
• The Curious History of Faa di Bruno's Formula
• $H^p$ Sobolev spaces
• The convergence of the Bochner-Riesz means at the critical index
• A real variable characterization of $H^{p}$
• Pointwise Convergence of Bochner–Riesz Means in Sobolev Spaces
• Bochner–Riesz Means on Euclidean Spaces
• Classical Fourier Analysis
• On radial Fourier multipliers and almost everywhere convergence
• On the Convergence of Poisson Integrals
• Oscillatory integrals and multiplier problem for the disc