Lattice property of $p$-admissible weights
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- by Tero Kilpeläinen, Pekka Koskela and Hiroaki Masaoka PDF
- Proc. Amer. Math. Soc. 143 (2015), 2427-2437 Request permission
Abstract:
We show that, for large $p$’s, the maximum of two $p$-admissible weights remains $p$-admissible in the terminology of nonlinear potential theory. We also give examples showing that in general, the minimum may fail to remain $p$-admissible.References
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Additional Information
- Tero Kilpeläinen
- Affiliation: Department of Mathematics and Statistics, P.O. Box 35, FI-40014 University of Jyväskylä, Finland
- Email: tero.kilpelainen@jyu.fi
- Pekka Koskela
- Affiliation: Department of Mathematics and Statistics, P.O. Box 35, FI-40014 University of Jyväskylä, Finland
- MR Author ID: 289254
- Email: pekka.j.koskela@jyu.fi
- Hiroaki Masaoka
- Affiliation: Department of Mathematics, Faculty of Science, Kyoto Sangyo University, Kamigamo, Motoyama, Kita-ku, Kyoto 603-8555, Japan
- Email: masaoka@cc.kyoto-su.ac.jp
- Received by editor(s): December 21, 2012
- Received by editor(s) in revised form: November 16, 2013
- Published electronically: February 3, 2015
- Communicated by: Jeremy T. Tyson
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 143 (2015), 2427-2437
- MSC (2010): Primary 46E35
- DOI: https://doi.org/10.1090/S0002-9939-2015-12416-1
- MathSciNet review: 3326025