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2015 EXPONENTIAL INTEGRABILITY FOR LOGARITHMIC POTENTIALS OF FUNCTIONS IN GENERALIZED LEBESGUE SPACES $L(\log L)^{q(\cdot)}$ OVER NON-DOUBLING MEASURE SPACES
Sachihiro Kanemori, Takao Ohno, Tetsu Shimomura
Taiwanese J. Math. 19(6): 1795-1803 (2015). DOI: 10.11650/tjm.19.2015.5564

Abstract

In this paper, we are concerned with exponential integrability for logarithmic potentials of functions in generalized Lebesgue spaces $L(\log L)^{q(\cdot)}$ over non-doubling measure spaces. Here $q$ satisfies the loglog-Hölder condition.

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Sachihiro Kanemori. Takao Ohno. Tetsu Shimomura. "EXPONENTIAL INTEGRABILITY FOR LOGARITHMIC POTENTIALS OF FUNCTIONS IN GENERALIZED LEBESGUE SPACES $L(\log L)^{q(\cdot)}$ OVER NON-DOUBLING MEASURE SPACES." Taiwanese J. Math. 19 (6) 1795 - 1803, 2015. https://doi.org/10.11650/tjm.19.2015.5564

Information

Published: 2015
First available in Project Euclid: 4 July 2017

zbMATH: 1357.31006
MathSciNet: MR3434278
Digital Object Identifier: 10.11650/tjm.19.2015.5564

Subjects:
Primary: 46E35
Secondary: 46E30

Keywords: exponential integrability , Logarithmic potential , metric measure space , Non-doubling measure , ‎variable exponent

Rights: Copyright © 2015 The Mathematical Society of the Republic of China

Vol.19 • No. 6 • 2015
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