Integrable harmonic functions on Rn

Yaakov Ben Natan; Yitzhak Weit

doi:10.1006/jfan.1997.3126

Integrable harmonic functions on Rⁿ

Yaakov Ben Natan
, Yitzhak Weit

Department of Mathematics

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

Abstract

A class of radial measuresμon Rⁿis defined so that integrable harmonic functionsfon Rⁿmay be characterized as solutions of convolution equationsf*μ=f. In particular we show thatf*e^-2*π|x|) is harmonic if and only ifn<9.

Original language	English
Pages (from-to)	471-477
Number of pages	7
Journal	Journal of Functional Analysis
Volume	150
Issue number	2
DOIs	https://doi.org/10.1006/jfan.1997.3126
State	Published - Nov 1997

ASJC Scopus subject areas

Analysis

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title = "Integrable harmonic functions on Rn",

abstract = "A class of radial measuresμon Rnis defined so that integrable harmonic functionsfon Rnmay be characterized as solutions of convolution equationsf*μ=f. In particular we show thatf*e-2*π|x|) is harmonic if and only ifn<9.",

author = "Natan, \{Yaakov Ben\} and Yitzhak Weit",

year = "1997",

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doi = "10.1006/jfan.1997.3126",

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journal = "Journal of Functional Analysis",

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AU - Weit, Yitzhak

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AB - A class of radial measuresμon Rnis defined so that integrable harmonic functionsfon Rnmay be characterized as solutions of convolution equationsf*μ=f. In particular we show thatf*e-2*π|x|) is harmonic if and only ifn<9.

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DO - 10.1006/jfan.1997.3126

M3 - Article

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VL - 150

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JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

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ER -

Integrable harmonic functions on Rⁿ

Abstract

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