Work

On the inverse Ki-inequality for one class of mappings

Year: 2023

Type: article

Abstract: We study mappings differentiable almost everywhere, possessing the N-Luzin property, the N?1-property on the spheres with respect to the (n ? 1)-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 definition domain.

Source: Filomat

DOI: 10.2298/fil2324145d

Authors: Oleksandr Dovhopiatyi, Evgeny Sevost’yanov

Institutions: Zhytomyr Ivan Franko State University, Institute of Applied Mathematics and Mechanics

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4398767474

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Cites: 23

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Related to: 10