Bochner--Riesz summability for analytic functions on the \(m\)-complex unit sphere and for cylindrically symmetric functions on \(\mathbb{R}^{n-1} \times \mathbb{R}\)

DOI10.4310/CAG.2004.V12.N1.A4zbMath1085.47039arXivmath/0207225OpenAlexW2005270783MaRDI QIDQ707464

Terence C. Tao, Adam S. Sikora

Publication date: 9 February 2005

Published in: Communications in Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0207225

zbMATH Keywords

symmetric functionsspectral multipliersLapace-Beltrami operator

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Summability in several variables (42B08) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

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Estimates of three classical summations on the spaces \(\dot{F}^{\alpha,q}_p(\mathbb R^n)(0<p\leq 1)\)

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