Generalized dimension distortion under planar Sobolev homeomorphisms

Pekka Koskela, Aleksandra Zapadinskaya, Thomas Zürcher

Type: Article

Publication Date: 2009-07-27

Citations: 10

DOI: https://doi.org/10.1090/s0002-9939-09-09948-1

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Abstract

We prove essentially sharp dimension distortion estimates for planar Sobolev-Orlicz homeomorphisms.

Locations

Proceedings of the American Mathematical Society - View - PDF

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Works Cited by This (17)

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+	Lusin's condition (N) and mappings of the class W1, n.	1995	Олли Мартио Jan Malý
+	David maps and Hausdorff Dimension	2002	Saeed Zakeri
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+ PDF Chat	Sobolev spaces, dimension, and random series	1999	Robert Kaufman
+ PDF Chat	Hausdorff Dimension and Quasiconformal Mappings	1973	F. W. Gehring Jussi Väısälä
+	Homeomorphisms of Bounded Variation	2007	Stanislav Hencl Pekka Koskela Jani Onninen
+	Mappings of BMO–bounded distortion	2000	Kari Astala Tadeusz Iwaniec Pekka Koskela Gaven Martin
+	Property N of homeomorphisms of the class Wp 1	1987	S. P. Ponomarëv
+	Mappings ofBMO-distortion and beltrami-type operators	2002	Tadeusz Iwaniec Pekka Koskela Gaven Martin
+	A study of Jacobians in Hardyd–Orlicz spaces	1999	Tadeusz Iwaniec Anna Verde