Uniform domains and quasiconformal mappings on the Heisenberg group

1995 ◽  
Vol 86 (1) ◽  
pp. 267-281 ◽  
Author(s):  
Luca Capogna ◽  
Puqi Tang
Keyword(s):  
Heisenberg Group ◽  
Quasiconformal Mappings ◽  
Uniform Domains

scholarly journals A Koebe distortion theorem for quasiconformal mappings in the Heisenberg group

2019 ◽  
Vol 199 (1) ◽  
pp. 147-186
Author(s):  
Tomasz Adamowicz ◽  
Katrin Fässler ◽  
Ben Warhurst
Keyword(s):  
Heisenberg Group ◽  
Quasiconformal Mappings ◽  
Distortion Theorem

Quasiconformal mappings on the Heisenberg group

1985 ◽  
Vol 80 (2) ◽  
pp. 309-338 ◽  
Author(s):  
A. Kor�nyi ◽  
H. M. Reimann
Keyword(s):  
Heisenberg Group ◽  
Quasiconformal Mappings

scholarly journals Foundations for the Theory of Quasiconformal Mappings on the Heisenberg Group

1995 ◽  
Vol 111 (1) ◽  
pp. 1-87 ◽  
Author(s):  
A. Koranyi ◽  
H.M. Reimann
Keyword(s):  
Heisenberg Group ◽  
Quasiconformal Mappings

Quasi-symmetric mappings and their generalizations on Riemannian manifolds

2021 ◽  
Vol 18 (2) ◽  
pp. 145-159
Author(s):  
Elena Afanas'eva ◽  
Viktoriia Bilet
Keyword(s):  
Riemannian Manifolds ◽  
Boundary Behavior ◽  
Quasiconformal Mappings ◽  
Uniform Domains

A relation between $\eta$-quasi-symmetric homomorphisms and $K$-quasiconformal mappings on $n$-dimensional smooth connected Riemannian manifolds has been studied. The main results of the research are presented in Theorems 2.6 and 2.7. Several conditions for the boundary behavior of $\eta$-quasi-symmetric homomorphisms between two arbitrary domains with weakly flat boundaries and compact closures, QED and uniform domains on the Riemannian mani\-folds, which satisfy the obtained results, were also formulated. In addition, quasiballs, $c$-locally connected domains, and the corresponding results were also considered.

Weighted estimates for commutators of Hausdorff operators on the Heisenberg group

2020 ◽  
pp. 39-62
Author(s):  
Nguyen Minh Chuong ◽  
◽  
Dao Van Duong ◽  
Nguyen Duc Duyet ◽  
◽  
...  
Keyword(s):  
Heisenberg Group ◽  
Weighted Estimates ◽  
Hausdorff Operators
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