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Boundary Behavior of Monotone Sobolev Functions in Orlicz Spaces on John Domains in a Metric Space

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Abstract

This paper deals with weighted boundary limits of monotone Sobolev functions in Orlicz spaces on bounded s-John domains in a metric space.

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Acknowledgements

We would like to express our thanks to the referees for their kind comments and suggestions.

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Authors and Affiliations

  1. Department of Mathematics, Daido University, Nagoya, 457-8530, Japan

    Toshihide Futamura

  2. Department of Mathematics, Graduate School of Education, Hiroshima University, Higashi-Hiroshima, 739-8524, Japan

    Tetsu Shimomura

Authors
  1. Toshihide Futamura
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  2. Tetsu Shimomura
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Corresponding author

Correspondence to Tetsu Shimomura.

Additional information

Dedicated to Professor Yoshihiro Mizuta on the occasion of his seventieth birthday.

The second author was partially supported by Grant-in-Aid for Scientific Research (C), No. 15K04929, Japan Society for the Promotion of Science.

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Futamura, T., Shimomura, T. Boundary Behavior of Monotone Sobolev Functions in Orlicz Spaces on John Domains in a Metric Space. J Geom Anal 28, 1233–1244 (2018). https://doi.org/10.1007/s12220-017-9860-x

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  • DOI: https://doi.org/10.1007/s12220-017-9860-x

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