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DOI: 10.23671/VNC.2015.1.7295

On finite lipschitz Orlicz-Sobolev classes

Salimov R. R.
Vladikavkaz Mathematical Journal 2015. Vol. 17. Issue 1.
Abstract:
It is found a sufficient condition of finite Lipschitz of homeomorphisms of the Orlicz-Sobolev class \(W_{\rm loc}^{1,\varphi}\) under a condition of the Calderon type.
Keywords: finitely Lipschitz mapping, \(p\)-modulus, \(p\)-capacity, Orlicz--Sobolev class, Orlicz space, lower \(Q\)-homeomorphism, mappings of finite distortion
Language: Russian Download the full text  
For citation: Salimov R. R. On finite lipschitz Orlicz-Sobolev classes. Vladikavkazskii matematicheskii zhurnal [Vladikavkaz Math. J.], vol. 17, no. 1, pp.64-77. DOI 10.23671/VNC.2015.1.7295
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