Some Global Estimates for the Jacobians of Quasiregular Mappings

Gao Hongya; Ren Suna; Sun Lanxiang

Original Article

Kyungpook Mathematical Journal 2011; 51(1): 29-36

Published online March 23, 2011

Some Global Estimates for the Jacobians of Quasiregular Mappings

Gao Hongya¹, Ren Suna¹, Sun Lanxiang²

¹College of Mathematics and Computer Science, Hebei University, Baoding, 071002, P. R. China
²Department of Mathematics, Cangzhou Normal College, Cangzhou, 061001, P. R. China

Received: March 23, 2011; Revised: March 23, 2011; Accepted: March 23, 2011

Abstract

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Abstract

Some global estimates for the Jacobians of quasiregular mappings $f=(f^{1},f^{2},cdots,f^{n})$ of the Sobolev class $W^{1,n}(Omega,R^{n})$ in $L^{varphi}(mu)$-domains and John domains are established.

Keywords: Jacobian, quasiregular mapping, $L^{varphi}(mu)$-domain, John domain