THE RIESZ CAPACITY IN
VARIABLE EXPONENT LEBESGUE SPACES
Cihan Ünal1, Ismail Aydın2
1,2Sinop University
Faculty of Arts and Sciences
Department of Mathematics
Sinop - 57000, TURKEY

Abstract

In this paper, we study a capacity theory based on a definition of a Riesz potential in the Euclidean space. Also, we define the Riesz $\left( \alpha ,p(.)\right) $-capacity and discuss the properties of the capacity in the variable exponent Lebesgue space $L^{p(.)}(\mathbb{R}^{n})$.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 30
Issue: 2
Year: 2017

DOI: 10.12732/ijam.v30i2.7

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