Modules of systems of measures on polarizable Carnot groups
type: Item
instance of: scholarly article
title: Modules of systems of measures on polarizable Carnot groups
zbMATH Open document ID: 1367.30042
author: Irina Markina
author: Alexander Vasil'ev
author: Melkana A. Brakalova
published in: Arkiv för Matematik
publication date: 2017-03-23T00:00:00Z
review text: Fuglede's \(p\)-module of systems of measures is studied in the context of polarizable Carnot groups. Spherical ring domains are studied in detail and for instance a formula is given for the \(p\)-module of the family of curves joing the boundary components of such a ring.
reviewed by: M. Vuorinen
Mathematics Subject Classification ID: 30L10
Mathematics Subject Classification ID: 30C65
zbMATH DE Number: 6696591
zbMATH Keywords: Carnot groups
zbMATH Keywords: measures
MaRDI profile type: Publication
full work available at URL: s11512-016-0242-6
OpenAlex ID: W2506839472
cites work: Q4248216
cites work: Polar coordinates in Carnot groups
cites work: Q3505635
cites work: Extremal functions for modules of systems of measures
cites work: Q3444925
cites work: Capacitary estimates and the local behavior of solutions of nonlinear subelliptic equations
cites work: Anisotropic quaternion Carnot groups: Geometric analysis and Green function
cites work: Q5565773
cites work: Subelliptic estimates and function spaces on nilpotent Lie groups
cites work: Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
cites work: Regular hypersurfaces, intrinsic perimeter and implicit function theorem in Carnot groups
cites work: Differentiability and approximate differentiability for intrinsic Lipschitz functions in Carnot groups and a Rademacher theorem
cites work: Extremal length and functional completion
cites work: Symmetrization of Rings in Space
cites work: Extremal length definitions for the conformal capacity of rings in space
cites work: On the degenerate Beltrami equation
cites work: On μ-conformal homeomorphisms and boundary correspondence
cites work: Q4856145
cites work: Quasiregular maps on Carnot groups
cites work: A p-extremal length and p-capacity equality
cites work: Fundamental Solutions for a Class of Hypoelliptic PDE Generated by Composition of Quadratic Forms
cites work: Geometry of Carnot-Carathéodory Spaces, Differentiability, Coarea and Area Formulas
cites work: Quasiconformal mappings on the Heisenberg group
cites work: Q3765987
cites work: Q5552278
cites work: Q3259178
cites work: The coarea formula for real‐valued Lipschitz maps on stratified groups
cites work: On coincidence of \(p\)-module of a family of curves and \(p\)-capacity on the Carnot group.
cites work: Extremal widths on homogeneous groups
cites work: \(p\)-module of vector measures in domains with intrinsic metric on Carnot groups
cites work: Q3365964
cites work: On Carnot-Caratheodory metrics
cites work: Sets of finite perimeter associated with vector fields and polyhedral approximation
cites work: Q3155756
cites work: Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
cites work: Modulus of surface families and the radial stretch in the Heisenberg group
cites work: Modulus of revolution rings in the Heisenberg group
cites work: The method of extremal length
cites work: Extremal length and the boundary behavior of conformal mappings
cites work: Extremal length and univalent functions. I: The angular derivative
cites work: Q3274762
cites work: Newtonian spaces: An extension of Sobolev spaces to metric measure spaces
cites work: Q3361114
cites work: The equality between \(p\)-capacity and \(p\)-modulus
cites work: Q3275063
cites work: Q3826839
cites work: Extremal Length and Conformal Capacity
cites work: Extremal length and p-capacity
cites work: Extremal length as a capacity
Wikidata QID: Q125570456
DOI: 10.1007/S11512-016-0242-6
description: scientific article; zbMATH DE number 6696591