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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Weighted Orlicz-Riesz capacity of balls


Authors: Yoshihiro Mizuta, Takao Ohno and Tetsu Shimomura
Journal: Proc. Amer. Math. Soc. 138 (2010), 4291-4302
MSC (2010): Primary 46E35; Secondary 46E30, 31B15
Published electronically: May 26, 2010
MathSciNet review: 2680055
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Abstract: Our aim in this paper is to estimate the weighted Orlicz-Riesz capacity of balls.


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Additional Information

Yoshihiro Mizuta
Affiliation: Department of Mathematics, Graduate School of Science, Hiroshima University, Higashi-Hiroshima 739-8521, Japan
Email: yomizuta@hiroshima-u.ac.jp

Takao Ohno
Affiliation: General Arts, Hiroshima National College of Maritime Technology, Higashino Oosakikamijima Toyotagun 725-0231, Japan
Address at time of publication: Department of Mathematics, Faculty of Education, Oita University, Dannohara Oita 870-1192, Japan
Email: ohno@hiroshima-cmt.ac.jp

Tetsu Shimomura
Affiliation: Department of Mathematics, Graduate School of Education, Hiroshima University, Higashi-Hiroshima 739-8524, Japan
Email: tshimo@hiroshima-u.ac.jp

DOI: http://dx.doi.org/10.1090/S0002-9939-2010-10510-5
PII: S 0002-9939(2010)10510-5
Keywords: Weighted Orlicz-Riesz capacity, Riesz potential, weighted-Riesz spaces
Received by editor(s): January 25, 2010
Published electronically: May 26, 2010
Communicated by: Tatiana Toro
Article copyright: © Copyright 2010 American Mathematical Society