We give sharp conditions under which the composition of two homeomorphisms of finite distortion is of finite distortion and has integrable distortion. As an application, we obtain a generalization of the classical uniqueness Theorem of homeomorphic solution to the measurable Riemann mapping problem.
Composition of bi-Sobolev homeomorphisms / Greco, Luigi; Sbordone, Carlo; Schiattarella, Roberta. - In: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS. - ISSN 0308-2105. - 142:01(2012), pp. 61-80. [10.1017/S030821051000171X]
Composition of bi-Sobolev homeomorphisms
GRECO, LUIGI;SBORDONE, CARLO;SCHIATTARELLA, ROBERTA
2012
Abstract
We give sharp conditions under which the composition of two homeomorphisms of finite distortion is of finite distortion and has integrable distortion. As an application, we obtain a generalization of the classical uniqueness Theorem of homeomorphic solution to the measurable Riemann mapping problem.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
