On the Lower Estimate of the Distortion of Distance for One Class of Mappings
- 9 Downloads
We study the behavior of one class of mappings with finite distortion in the vicinity of the origin. Under certain conditions imposed on the characteristic of quasiconformality, we establish a lower estimate for the distortion of distance under mappings of the indicated kind.
Unable to display preview. Download preview PDF.
- 1.R. R. Salimov and E. A. Sevost’yanov, “Analogs of the Ikoma–Schwartz lemma and Liouville theorem for mappings with unbounded characteristic,” Ukr. Mat., Zh., 63, No. 10, 1368–1380 (2011); English translation: Ukr. Math. J., 63, No. 10, 1551–1565 (2012).Google Scholar