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Generalized dimension compression under mappings of exponentially integrable distortion

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Central European Journal of Mathematics

Abstract

We prove a dimension compression estimate for homeomorphic mappings of exponentially integrable distortion via a modulus of continuity result by D. Herron and P. Koskela [Mappings of finite distortion: gauge dimension of generalized quasicircles, Illinois J. Math., 2003, 47(4), 1243–1259]. The essential sharpness of our estimate is demonstrated by an example.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Jyväskylä, Jyväskylä, Finland

    Aleksandra Zapadinskaya

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  1. Aleksandra Zapadinskaya
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Correspondence to Aleksandra Zapadinskaya.

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Zapadinskaya, A. Generalized dimension compression under mappings of exponentially integrable distortion. centr.eur.j.math. 9, 356–363 (2011). https://doi.org/10.2478/s11533-011-0008-0

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  • DOI: https://doi.org/10.2478/s11533-011-0008-0

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