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Trudinger-type inequalities in Musielak–Orlicz spaces over metric measure spaces

  • Takao Ohno EMAIL logo and Tetsu Shimomura
Published/Copyright: June 18, 2025
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Abstract

Our aim in this note is to deal with Trudinger-type inequalities for variable Riesz potentials of functions in Musielak–Orlicz spaces over bounded metric measure spaces as an extension of the previous paper by Hurri-Syrjänen and the authors (Complex Var. Elliptic Equ. 68 (2023), no. 10, 1694–1714). As an application, we prove Trudinger-type inequalities for double phase functionals.

MSC 2020: 46E35; 46E30

Acknowledgements

The authors would like to thank the referee for giving useful comments.

References

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Received: 2024-12-11
Revised: 2025-02-26
Accepted: 2025-03-14
Published Online: 2025-06-18

© 2025 Walter de Gruyter GmbH, Berlin/Boston

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