Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 38, 2013, 367-375

MAPPINGS OF FINITE DISTORTION AND ASYMMETRY OF DOMAINS

Gioconda Moscariello, Antonia Passarelli di Napoli and Kai Rajala

Università degli Studi di Napoli Federico II, Dipartimento di Matematica ed Applicazioni "R. Caccioppoli"
via Cintia, 80126 Napoli, Italy; gmoscari 'at' unina.it

Università degli Studi di Napoli Federico II, Dipartimento di Matematica ed Applicazioni "R. Caccioppoli"
via Cintia, 80126 Napoli, Italy; antpassa 'at' unina.it

University of Jyväskylä, Department of Mathematics and Statistics
P.O. Box 35, FI-40014 University of Jyväskylä, Finland; kai.i.rajala 'at' jyu.fi

Abstract. We establish an anisotropic Fuglede inequality for images of balls under homeomorphisms with exponentially integrable distortion.

2010 Mathematics Subject Classification: Primary 30C65, 46E35.

Key words: Mappings of finite distortion, isoperimetric inequality.

Reference to this article: G. Moscariello, A. Passarelli di Napoli and K. Rajala: Mappings of finite distortion and asymmetry of domains. Ann. Acad. Sci. Fenn. Math. 38 (2013), 367-375.

Full document as PDF file

doi:10.5186/aasfm.2013.3803