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Capacity for potentials of functions in Musielak-Orlicz spaces

Authors:	Fumi-Yuki Maeda Tetsu Shimomura

Institution:	^a 4-24 Furue-higashi-machi, Nishi-ku, Hiroshima 733-0872, Japan ^b Department of Mathematics, Graduate School of Science, Hiroshima University, Higashi-Hiroshima 739-8521, Japan ^c Faculty of Education and Welfare Science, Oita University, Dannoharu Oita-city 870-1192, Japan ^d Department of Mathematics, Graduate School of Education, Hiroshima University, Higashi-Hiroshima 739-8524, Japan

Abstract:	We define a capacity for potentials of functions in Musielak-Orlicz spaces. Basic properties of such capacity are studied. We also estimate the capacity of balls and give some applications of the estimates.

Keywords:	primary 46E30 31B15
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