Quasiconformal, Lipschitz, and BV mappings in metric spaces

Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Quasiconformal mappings in metric spaces (30L10) Sobolev (and similar kinds of) spaces of functions on metric spaces; analysis on metric spaces (46E36)

Cites Work

Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Sharp differentiability results for the lower local Lipschitz constant and applications to non-embedding
Functions of bounded variation and curves in metric measure spaces
Nonlinear potential theory on metric spaces
Equivalence of two BV classes of functions in metric spaces, and existence of a Semmes family of curves under a 1-Poincaré inequality
Functions of bounded variation on ``good metric spaces
Sobolev classes of Banach space-valued functions and quasiconformal mappings
Newtonian spaces: An extension of Sobolev spaces to metric measure spaces
The differential of a quasi-conformal mapping of a Carnot-Carathéodory space
Quasiconformality, quasisymmetry, and removability in Loewner spaces. Appendix by Jussi Väisälä
Dilatation, pointwise Lipschitz constants, and condition \(N\) on curves
Absolute continuity of quasiconformal mappings on curves
Local Lipschitz numbers and Sobolev spaces
The L\(^p\)-integrability of the partial derivatives of a quasiconformal mapping
ACL homeomorphisms and linear dilatation
The space of functions of bounded variation on curves in metric measure spaces
Linear dilatation and differentiability of homeomorphisms of \(\mathbb R^n\)
Rings and Quasiconformal Mappings in Space
The ACL property of homeomorphisms under weak conditions
Exceptional sets for the definition of quasiconformality
Sobolev Spaces on Metric Measure Spaces
Scaled-oscillation and regularity