Lower bounds for the volume of the image of a ball

DOI10.1007/s11253-019-01686-9zbMath1435.30078OpenAlexW2990271083WikidataQ126670343 ScholiaQ126670343MaRDI QIDQ2306731

Bogdan Klishchuk, Ruslan Radikovich Salimov

Publication date: 24 March 2020

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-019-01686-9

zbMATH Keywords

\(Q\)-homeomorphismsimage of a ball

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65)

Related Items (12)

Generalized M. A. Lavrentiev's inequality ⋮ On the Koebe Quarter Theorem for Polynomials ⋮ On the asymptotic behavior at infinity of one mapping class ⋮ On distortions of the transfinite diameter of disk image ⋮ The inverse Poletsky inequality in one class of mappings ⋮ On power-law behavior of some mapping class at infinity ⋮ On mappings with an analog of the hydrodynamical normalization in the Euclidean space ⋮ On the behavior of one class of homeomorphisms at infinity ⋮ On the radial limits of mappings on Riemannian manifolds ⋮ On the distortion of the disk image diameter ⋮ On the behavior at infinity of one class of homeomorphisms ⋮ Boundary extensions of mappings satisfying the Poletsky inverse inequality in terms of prime ends

Cites Work

• The equality between \(p\)-capacity and \(p\)-modulus
• Area distortion of quasiconformal mappings
• Estimation of the measure of the image of the ball
• Infinitesimal geometry of quasiconformal and bi-Lipschitz mappings in the plane
• Boundary behavior of Orlicz-Sobolev classes
• Some properties of open, discrete, generalized ring mappings
• Lower estimates for $p$-moduli and Sobolev class mappings
• Analytical foundations of the theory of quasiconformal mappings in R^n
• Open discrete mappings having local ACL ⁿ inverses
• The Väisälä inequality for mappings with finite length distortion
• Towards a theory of removable singularities for maps with unbounded characteristic of quasi-conformity
• On Mappings with Integrable Dilatation
• On the Area Distortion by Quasiconformal Mappings
• The Poletskii and Väisälä inequalities for the mappings with (p, q)-distortion
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