2008•Hiroshima Mathematical JournalOpen access

Continuity properties for logarithmic potentials of functions in Morrey spaces of variable exponent

Takao Ohno

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Abstract

Our aim in this paper is to deal with continuity properties for logarithmic potentials of functions in Morrey spaces of variable exponent. Our exponent approaches 1 on some part of the domain, and hence continuity properties depend on the shape of that part and the speed of the exponent approaching 1.

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What this paper is about

Our aim in this paper is to deal with continuity properties for logarithmic potentials of functions in Morrey spaces of variable exponent. Our exponent approaches 1 on some part of the domain, and hence continuity properties depend on the shape of that part and the speed of the exponent approaching 1.

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Available abstract

Our aim in this paper is to deal with continuity properties for logarithmic potentials of functions in Morrey spaces of variable exponent. Our exponent approaches 1 on some part of the domain, and hence continuity properties depend on the shape of that part and the speed of the exponent approaching 1.

Key concepts: Logarithm, Mathematics, Exponent, Mathematical analysis, Variable (mathematics), Domain (mathematical analysis), Pure mathematics, Philosophy

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