Abstract
In this paper we are concerned with weighted boundary limits of monotone Sobolev functions in Orlicz spaces on bounded $(\eta,\psi)$-John domains in a metric space. We also deal with Lindelöf type theorems for monotone Sobolev functions on uniform domains in a metric space.
Funding Statement
The second author was partially supported by Grant-in-Aid for Scientific Research (C), No. 18K03332, Japan Society for the Promotion of Science.
Acknowledgments
We would like to express our thanks to the referee for his/her kind comments and helpful suggestions.
Citation
Toshihide Futamura. Tetsu Shimomura. "Boundary limits of monotone Sobolev functions on metric spaces." Osaka J. Math. 58 (1) 135 - 147, January 2021.
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