Generalized dimension compression under mappings of exponentially integrable distortion
Aleksandra Zapadinskaya
Open Mathematics, Tome 9 (2011), p. 356-363 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:269401 
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     author = {Aleksandra Zapadinskaya},
     title = {Generalized dimension compression under mappings of exponentially integrable distortion},
     journal = {Open Mathematics},
     volume = {9},
     year = {2011},
     pages = {356-363},
     zbl = {1254.30023},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-011-0008-0}
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Aleksandra Zapadinskaya. Generalized dimension compression under mappings of exponentially integrable distortion. Open Mathematics, Tome 9 (2011) pp. 356-363. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-011-0008-0/

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