Spherical means and Riesz decomposition for superbiharmonic functions

Keiji KITAURA; Yoshihiro MIZUTA

doi:10.2969/jmsj/1149166786

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Home > Journals > J. Math. Soc. Japan > Volume 58 > Issue 2 > Article

April, 2006 Spherical means and Riesz decomposition for superbiharmonic functions

Keiji KITAURA, Yoshihiro MIZUTA

J. Math. Soc. Japan 58(2): 521-533 (April, 2006). DOI: 10.2969/jmsj/1149166786

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Abstract

The aim in this note is to discuss the behavior at infinity for superbiharmonic functions on $\mathbf{R}^n$ by use of spherical means.

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Keiji KITAURA. Yoshihiro MIZUTA. "Spherical means and Riesz decomposition for superbiharmonic functions." J. Math. Soc. Japan 58 (2) 521 - 533, April, 2006. https://doi.org/10.2969/jmsj/1149166786

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Published: April, 2006

First available in Project Euclid: 1 June 2006

zbMATH: 1103.31004

MathSciNet: MR2228570

Digital Object Identifier: 10.2969/jmsj/1149166786

Subjects:

Primary: 31B05 , 31B15 , 31B30

Keywords: Riesz decomposition , spherical mean , superbiharmonic function

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J. Math. Soc. Japan

Vol.58 • No. 2 • April, 2006

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Keiji KITAURA, Yoshihiro MIZUTA "Spherical means and Riesz decomposition for superbiharmonic functions," Journal of the Mathematical Society of Japan, J. Math. Soc. Japan 58(2), 521-533, (April, 2006)

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