On coincidence of \(p\)-module of a family of curves and \(p\)-capacity on the Carnot group.
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Publication:1413720
DOI10.4171/RMI/340zbMath1038.31006MaRDI QIDQ1413720
Publication date: 17 November 2003
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/39688
Analysis on real and complex Lie groups (22E30) Potentials and capacities on other spaces (31C15) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)
Related Items (11)
Prime ends in the Heisenberg group $\mathbb{H}_{1}$ and the boundary behavior of quasiconformal mappings ⋮ On value distributions for quasimeromorphic mappings on \(\mathbb H\)-type Carnot groups ⋮ Equality of the capacity and module of a condenser on a sub-Finsler space ⋮ A fibered Tukia theorem for nilpotent Lie groups ⋮ Extremal functions for modules of systems of measures ⋮ Extremal length for quasiregular mappings on Heisenberg groups. ⋮ Sobolev mappings and moduli inequalities on Carnot groups ⋮ On boundary extension of mappings in metric spaces in the terms of prime ends ⋮ Modules of systems of measures on polarizable Carnot groups ⋮ \(p\)-module of vector measures in domains with intrinsic metric on Carnot groups ⋮ Capacity of a condenser in the Heisenberg group
Cites Work
- Extremal length and functional completion
- Quasiconformal maps in metric spaces with controlled geometry
- Foundations for the theory of quasiconformal mappings on the Heisenberg group
- Über Systeme von linearen partiellen Differentialgleichungen erster Ordnung
- New cases of equality between p-module and p-capacity
- Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
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