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SOBOLEV INEQUALITIES FOR RIESZ POTENTIALS OF FUNCTIONS IN $L^{p(\cdot )}$ OVER NONDOUBLING MEASURE SPACES

Published online by Cambridge University Press:  12 November 2015

TAKAO OHNO*
Affiliation:
Faculty of Education and Welfare Science, Oita University, Dannoharu Oita-city 870-1192, Japan email [email protected]
TETSU SHIMOMURA
Affiliation:
Department of Mathematics, Graduate School of Education, Hiroshima University, Higashi-Hiroshima 739-8524, Japan email [email protected]
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Abstract

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Our aim in this paper is to deal with Sobolev inequalities for Riesz potentials of functions in Lebesgue spaces of variable exponents near Sobolev’s exponent over nondoubling metric measure spaces.

Type
Research Article
Copyright
© 2015 Australian Mathematical Publishing Association Inc. 

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