On value distributions for quasimeromorphic mappings on \(\mathbb H\)-type Carnot groups
DOI10.1016/j.bulsci.2005.10.003zbMath1110.32006arXivmath/0509289OpenAlexW2123336917MaRDI QIDQ855485
Irina Markina, Sergei Vodop'yanov
Publication date: 7 December 2006
Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0509289
Nilpotent Lie groups\(p\)-capacityCarnot-Carathéodory metrics\(p\)-module of a family of curvesValue distribution theory
Analysis on other specific Lie groups (43A80) Meromorphic mappings in several complex variables (32H04) Value distribution theory in higher dimensions (32H30) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)
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Cites Work
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- On Carnot-Caratheodory metrics
- The boundary correspondence under quasiconformal mappings
- Extremal length and functional completion
- Geometric properties of Heisenberg-type groups
- Sub-Riemannian geometry
- Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
- Quasiregular maps on Carnot groups
- On the number of omitted values of entire quasiregular mappings
- A defect relation for quasimeromorphic mappings
- Conformal geometry and quasiregular mappings
- Subelliptic estimates and function spaces on nilpotent Lie groups
- Quasiconformal maps in metric spaces with controlled geometry
- Sobolev spaces and \((P,Q)\)-quasiconformal mappings of Carnot groups
- An approach to symmetric spaces of rank one via groups of Heisenberg type
- Monotone functions and quasiconformal mappings on Carnot groups
- Approximately differentiable transformations and change of variables on nilpotent groups
- Extremal length for quasiregular mappings on Heisenberg groups.
- On coincidence of \(p\)-module of a family of curves and \(p\)-capacity on the Carnot group.
- Extremal lengths for mappings with bounded \(s\)-distortion on Carnot groups
- On the closedness of classes of mappings with bounded distortion on Carnot groups.
- Polar coordinates in Carnot groups
- Foundations for the theory of quasiconformal mappings on the Heisenberg group
- \(H\)-type groups and Iwasawa decompositions
- The analogue of Picard's theorem for quasiregular mappings in dimension three
- Singular solutions, homogeneous norms, and quasiconformal mappings in Carnot groups
- A capacity estimate on Carnot groups
- Exceptional sets for solutions to subelliptic equations
- Sobolev-type classes of functions with values in a metric space
- Mappings with bounded distortion and with finite distortion on Carnot groups
- Foundations of the theory of mappings with bounded distortion on Carnot groups
- Lectures on \(n\)-dimensional quasiconformal mappings
- The L\(^p\)-integrability of the partial derivatives of a quasiconformal mapping
- Theory of capacities
- Analytical foundations of the theory of quasiconformal mappings in R^n
- Fundamental Solutions for a Class of Hypoelliptic PDE Generated by Composition of Quadratic Forms
- Compensation couples and isoperimetric estimates for vector fields
- Sobolev met Poincaré
- Differentiability of maps of Carnot groups of Sobolev classes
- Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
- Croissance des boules et des géodésiques fermées dans les nilvariétés
- The Extension of Interiority, With Some Applications
- Rigidity of \(H\)-type groups
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