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Wolff potential estimates for Cheeger p-harmonic functions

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Abstract

In this note, we give a new proof of Wolff potential estimates for Cheeger p-superharmonic functions on metric measure spaces given by Björn et al. (J Anal Math 85:339–369, 2001). Also, we extend the estimate to Poisson type equations with signed data.

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Acknowledgements

The author wishes to thank Professor Hiroaki Aikawa for suggesting this problem. The author would like to thank the reviewers for carefully reading the manuscript and the helpful comments.

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Authors and Affiliations

  1. Department of Mathematics, Hokkaido University, Kita 8 Nishi 10, Sapporo, 060-0808, Japan

    Takanobu Hara

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  1. Takanobu Hara
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Correspondence to Takanobu Hara.

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This work was supported in part by JSPS KAKENHI Grant No. 17H01092.

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Hara, T. Wolff potential estimates for Cheeger p-harmonic functions. Collect. Math. 69, 407–426 (2018). https://doi.org/10.1007/s13348-018-0213-2

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