On the inverse $K_I$-inequality for one class of mappings
Complex Variables
2022-05-10 v3
Abstract
We study mappings differentiable almost everywhere, possessing the -Luzin property, the -property on the spheres with respect to the -dimensional Hausdorff measure and such that the image of the set where its Jacobian equals to zero has a zero Lebesgue measure. It is proved that such mappings satisfy the lower bound for the Poletsky-type distortion in their domain of definition.
Keywords
Cite
@article{arxiv.2108.10375,
title = {On the inverse $K_I$-inequality for one class of mappings},
author = {Oleksandr Dovhopiatyi and Evgeny Sevost'yanov},
journal= {arXiv preprint arXiv:2108.10375},
year = {2022}
}