Semicontinuity under Convergence of Homeomorphisms in $ L_{1,\operatorname{loc}} $ of the Operator Distortion Function
-
Published:2024-07
Issue:4
Volume:65
Page:737-750
-
ISSN:0037-4466
-
Container-title:Siberian Mathematical Journal
-
language:en
-
Short-container-title:Sib Math J
Author:
Vodopyanov S. K.ORCID,
Sboev D. A.
Publisher
Pleiades Publishing Ltd
Reference20 articles.
1. Reshetnyak Yu.G., Space Mappings with Bounded Distortion, Amer. Math. Soc., Providence (1989) (Transl. Math. Monogr.; vol. 73).
2. Rickman S., Quasiregular Mappings, Springer, Berlin etc. (1993) (Universitext).
3. Iwaniec T. and Martin G., Geometric Function Theory and Nonlinear Analysis, Oxford University, Oxford (2001).
4. Vodopyanov S.K., “Closure of classes of mappings with bounded distortion on Carnot groups,” Siberian Adv. Math., vol. 14, no. 1, 84–125 (2005).
5. Vodopyanov S.K. and Molchanova A.O., “Lower semicontinuity of mappings with bounded $ (\theta,1) $-weighted $ (p,q) $-distortion,” Sib. Math. J., vol. 57, no. 5, 778–787 (2016).