On the lower estimate of the distortion of distance for one class of mappings
We study the behavior of one class of mappings with finite distortion in a neighborhood 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.
Saved in:
| Date: | 2018 |
|---|---|
| Main Authors: | Markish, A. A., Salimov, R. R., Sevost'yanov, E. A., Маркиш, А. А., Салимов, Р. Р., Севостьянов, Е. А. |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2018
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/1659 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: | |
Institution
Ukrains’kyi Matematychnyi ZhurnalSimilar Items
On the lower estimate of the distortion of distance for one class of mappings
by: R. R. Salimov, et al.
Published: (2018)
by: R. R. Salimov, et al.
Published: (2018)
On the absolute continuity of mappings distorting the moduli
of cylinders
by: Salimov, R. R., et al.
Published: (2017)
by: Salimov, R. R., et al.
Published: (2017)
On one modulus inequality for mappings with finite length distortion
by: Sevost'yanov, E. A., et al.
Published: (2009)
by: Sevost'yanov, E. A., et al.
Published: (2009)
On the equicontinuity of one family of inverse mappings
in terms of prime ends
by: Salimov, R. R., et al.
Published: (2018)
by: Salimov, R. R., et al.
Published: (2018)
Analog of the Montel Theorem for Mappings of the Sobolev Class with Finite Distortion
by: Sevost'yanov, E. A., et al.
Published: (2015)
by: Sevost'yanov, E. A., et al.
Published: (2015)
Estimation of dilatations for mappings more general than quasiregular mappings
by: Salimov, R. R., et al.
Published: (2010)
by: Salimov, R. R., et al.
Published: (2010)
Analogs of the Ikoma?Schwartz lemma and Liouville theorem for mappings with unbounded characteristic
by: Salimov, R. R., et al.
Published: (2011)
by: Salimov, R. R., et al.
Published: (2011)
Generalization of one Poletskii lemma to classes of space mappings
by: Sevost'yanov, E. A., et al.
Published: (2009)
by: Sevost'yanov, E. A., et al.
Published: (2009)
On the local behavior of open discrete mappings of the Orlicz – Sobolev classes
by: Sevost'yanov, E. A., et al.
Published: (2016)
by: Sevost'yanov, E. A., et al.
Published: (2016)
Normality of the Orlicz - Sobolev classes
by: Ryazanov, V. I., et al.
Published: (2016)
by: Ryazanov, V. I., et al.
Published: (2016)
On the Orlicz–Sobolev Classes and Mappings with Bounded Dirichlet Integral
by: Ryazanov, V. I., et al.
Published: (2013)
by: Ryazanov, V. I., et al.
Published: (2013)
On the equicontinuity of mappings with branching in the closure of the domain
by: Sevost'yanov, E. A., et al.
Published: (2017)
by: Sevost'yanov, E. A., et al.
Published: (2017)
On the normality of families of space mappings with branching
by: Sevost'yanov, E. A., et al.
Published: (2008)
by: Sevost'yanov, E. A., et al.
Published: (2008)
On the openness and discreteness of mappings with unbounded characteristic of quasiconformality
by: Sevost'yanov, E. A., et al.
Published: (2011)
by: Sevost'yanov, E. A., et al.
Published: (2011)
On the boundary behavior of open discrete mappings with unbounded characteristic
by: Sevost'yanov, E. A., et al.
Published: (2012)
by: Sevost'yanov, E. A., et al.
Published: (2012)
On the boundary estimates for the distortions of mappings in domains with Poincaré inequality
by: Sevost’yanov, E., et al.
Published: (2025)
by: Sevost’yanov, E., et al.
Published: (2025)
On the sets of branch points of mappings more general than quasiregular
by: Sevost'yanov, E. A., et al.
Published: (2010)
by: Sevost'yanov, E. A., et al.
Published: (2010)
Removal of singularities and analogs of the Sokhotskii–Weierstrass theorem for Q-mappings
by: Sevost'yanov, E. A., et al.
Published: (2009)
by: Sevost'yanov, E. A., et al.
Published: (2009)
On branch points of three-dimensional mappings with unbounded characteristic of quasiconformality
by: Sevost'yanov, E. A., et al.
Published: (2011)
by: Sevost'yanov, E. A., et al.
Published: (2011)
О равностепенной непрерывности одного класса отображений, квазирегулярных в среднем
by: Севостьянов, Е.А., et al.
Published: (2016)
by: Севостьянов, Е.А., et al.
Published: (2016)
On the removability of isolated singularities of Orlicz – Sobolev classes with branching
by: Sevost'yanov, E. A., et al.
Published: (2016)
by: Sevost'yanov, E. A., et al.
Published: (2016)
On the integral characterization of some generalized quasiregular mappings and the significance of the conditions of divergence of integrals in the geometric theory of functions
by: Sevost'yanov, E. A., et al.
Published: (2009)
by: Sevost'yanov, E. A., et al.
Published: (2009)
On the local behavior of Sobolev classes on two-dimensional Riemannian manifolds
by: Sevost'yanov, E. A., et al.
Published: (2019)
by: Sevost'yanov, E. A., et al.
Published: (2019)
One Property of Ring Q-Homeomorphisms With Respect to a p-Module
by: Salimov, R. R., et al.
Published: (2013)
by: Salimov, R. R., et al.
Published: (2013)
Lower bounds for the volume of the image of a ball
by: Klishchuk, B. A., et al.
Published: (2019)
by: Klishchuk, B. A., et al.
Published: (2019)
Аналоги леммы Икома - Шварца и теоремы Лиувилля для отображений с неограниченной характеристикой
by: Салимов, Р.Р., et al.
Published: (2011)
by: Салимов, Р.Р., et al.
Published: (2011)
Об оценке дилатаций для отображений, более общих, чем квазирегулярные
by: Салимов, Р.Р., et al.
Published: (2010)
by: Салимов, Р.Р., et al.
Published: (2010)
Оценка дилатаций дискретных открытых Q-отображений
by: Салимов, Р.Р., et al.
Published: (2009)
by: Салимов, Р.Р., et al.
Published: (2009)
ACL и дифференцируемость почти всюду кольцевых гомеоморфизмов
by: Салимов, Р.Р., et al.
Published: (2008)
by: Салимов, Р.Р., et al.
Published: (2008)
О неравенстве типа Вяйсяля для угловой дилатации отображений и некоторых его приложениях
by: Севостьянов, Е.А., et al.
Published: (2015)
by: Севостьянов, Е.А., et al.
Published: (2015)
О внутренних дилатациях отображений с неограниченной характеристикой
by: Севостьянов, Е.А., et al.
Published: (2011)
by: Севостьянов, Е.А., et al.
Published: (2011)
On the behavior of one class of mappings acting upon domains with locally quasiconformal boundary
by: Sevost’yanov, E., et al.
Published: (2024)
by: Sevost’yanov, E., et al.
Published: (2024)
On Equicontinuous Families of Mappings Without Values in Variable Sets
by: Sevost'yanov, E. A., et al.
Published: (2014)
by: Sevost'yanov, E. A., et al.
Published: (2014)
On the absolute continuity of mappings distorting the moduli of cylinders
by: R. R. Salimov, et al.
Published: (2017)
by: R. R. Salimov, et al.
Published: (2017)
On the equicontinuity of families of mappings in the case
of variable domains
by: Sevost'yanov, E. A., et al.
Published: (2019)
by: Sevost'yanov, E. A., et al.
Published: (2019)
On equicontinuity of families of mappings with one normalization condition by the prime ends
by: Ilkevych, N. S., et al.
Published: (2022)
by: Ilkevych, N. S., et al.
Published: (2022)
On Poletsky type inequality for mappings of Riemannian surfaces
by: Sevost’yanov, E. A., et al.
Published: (2020)
by: Sevost’yanov, E. A., et al.
Published: (2020)
On convergence of mappings in metric spaces with direct
and inverse modulus conditions
by: Sevost'yanov, E. A., et al.
Published: (2018)
by: Sevost'yanov, E. A., et al.
Published: (2018)
Об устранении особенностей классов Орлича-Соболева
by: Севостьянов, Е.А., et al.
Published: (2016)
by: Севостьянов, Е.А., et al.
Published: (2016)
On convergence of a sequence of mappings with inverse modulus inequality to a discrete mapping
by: Sevost’yanov, E., et al.
Published: (2026)
by: Sevost’yanov, E., et al.
Published: (2026)
Similar Items
-
On the lower estimate of the distortion of distance for one class of mappings
by: R. R. Salimov, et al.
Published: (2018) -
On the absolute continuity of mappings distorting the moduli
of cylinders
by: Salimov, R. R., et al.
Published: (2017) -
On one modulus inequality for mappings with finite length distortion
by: Sevost'yanov, E. A., et al.
Published: (2009) -
On the equicontinuity of one family of inverse mappings
in terms of prime ends
by: Salimov, R. R., et al.
Published: (2018) -
Analog of the Montel Theorem for Mappings of the Sobolev Class with Finite Distortion
by: Sevost'yanov, E. A., et al.
Published: (2015)