## Kyoto Journal of Mathematics

### Trudinger’s inequality and continuity for Riesz potential of functions in Orlicz spaces of two variable exponents over nondoubling measure spaces

#### Abstract

In this article, we consider Trudinger’s inequality and continuity for Riesz potentials of functions in Orlicz spaces of two variable exponents near Sobolev’s exponent over nondoubling metric measure spaces.

#### Article information

Source
Kyoto J. Math., Volume 57, Number 1 (2017), 79-96.

Dates
Revised: 7 December 2015
Accepted: 11 December 2015
First available in Project Euclid: 11 March 2017

https://projecteuclid.org/euclid.kjm/1489201231

Digital Object Identifier
doi:10.1215/21562261-3759522

Mathematical Reviews number (MathSciNet)
MR3621780

Zentralblatt MATH identifier
1372.46026

#### Citation

Kanemori, Sachihiro; Ohno, Takao; Shimomura, Tetsu. Trudinger’s inequality and continuity for Riesz potential of functions in Orlicz spaces of two variable exponents over nondoubling measure spaces. Kyoto J. Math. 57 (2017), no. 1, 79--96. doi:10.1215/21562261-3759522. https://projecteuclid.org/euclid.kjm/1489201231

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