Bochner-Riesz means on symmetric spaces

Christopher Meaney; Elena Prestini

Bochner-Riesz means on symmetric spaces

Christopher Meaney, Elena Prestini

Research output: Contribution to journal › Article › peer-review

Abstract

We combine results of Giulini and Mauceri and our earlier work to obtain an almost-everywhere convergence result for the Bochner-Riesz means of the inverse spherical transform of bi-invariant L^p functions on a noncompact rank one Riemannian symmetric space. Following a technique of Kanjin, we show that this result is sharp.

Original language	English
Pages (from-to)	557-570
Number of pages	14
Journal	Tohoku Mathematical Journal
Volume	50
Issue number	4
Publication status	Published - Dec 1998

Keywords

Bochner-Riesz mean
Cantor-Lebesgue theorem
Complex interpolation
Maximal function
Rank-one symmetric space
Spherical transform

Cite this

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title = "Bochner-Riesz means on symmetric spaces",

abstract = "We combine results of Giulini and Mauceri and our earlier work to obtain an almost-everywhere convergence result for the Bochner-Riesz means of the inverse spherical transform of bi-invariant Lp functions on a noncompact rank one Riemannian symmetric space. Following a technique of Kanjin, we show that this result is sharp.",

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AU - Prestini, Elena

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AB - We combine results of Giulini and Mauceri and our earlier work to obtain an almost-everywhere convergence result for the Bochner-Riesz means of the inverse spherical transform of bi-invariant Lp functions on a noncompact rank one Riemannian symmetric space. Following a technique of Kanjin, we show that this result is sharp.

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KW - Cantor-Lebesgue theorem

KW - Complex interpolation

KW - Maximal function

KW - Rank-one symmetric space

KW - Spherical transform

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JO - Tohoku Mathematical Journal

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Bochner-Riesz means on symmetric spaces

Abstract

Keywords

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