Abstract
We prove a generalized Trudinger's inequality for Riesz potentials of Musielak-Orlicz functions defined in a bounded metric measure space. As a corollary we obtain Trudinger's inequality for double phase functionals
, where
and
satisfy log-Hölder conditions and
is non-negative, bounded and Hölder continuous.
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Acknowledgements
The authors would like to thank the referee for carefully reading the manuscript and giving useful comments.
Disclosure statement
No potential conflict of interest was reported by the author(s).