Instability of Capacity in Orlicz Spaces

被引：0

作者：

N. Aissaoui

机构：

[1] Ecole Normale Supérieure,Département de Mathématiques

来源：

Potential Analysis | 1997年 / 6卷

关键词：

Orlicz spaces; capacities; non-linear potential; Riesz potential; Bessel potential.;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper we describe the instability of certain capacities in the Orlicz spaces. Our results generalize some of those obtained by Fernström in [6] and the Theorem 9 of Hedberg in [7] in the case of Lebesgue spaces.

引用

页码：327 / 346

页数：19

共 9 条

[1]

Adams D. R.(1973)Bessel potentials. Inclusion relations among classes of exceptional sets Ind. Univ. Math. J. 22 873-905

[2]

Meyers N. G.(1994)Capacités dans les espaces d'Orlicz Ann. Sci. Math. Québec 18 1-23

[3]

Aissaoui N.(1989)An approximation theorem in higher order Orlicz-Sobolev spaces and applications Studia Math. 92 231-255

[4]

Benkirane A.(1977)On the instability of capacity Ark. Mat. 15 241-252

[5]

Benkirane A.(1972)Non-linear potentials and approximation in the mean by analytic functions Math. Z. 129 299-319

[6]

Gossez J. P.(1965)Fractional integration in Orlicz space Trans. Amer. Math. Soc. 115 300-328

[7]

Fernström C.(undefined)undefined undefined undefined undefined-undefined

[8]

Hedberg L. I.(undefined)undefined undefined undefined undefined-undefined

[9]

O'Neil R.(undefined)undefined undefined undefined undefined-undefined

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