Boundary behaviour of open, light mappings in metric measure spaces
Mihai Cristea
Abstract
We study the boundary behaviour of open, light mappings satisfying generalized modular inequalities in general metric measure spaces. We extend in this way known facts from the theory of quasiregular mappings and from their recent generalizations, namely the mappings of finite distortion and the so called ring mappings.
Topics & Concepts
Boundary (topology)MathematicsMeasure (data warehouse)Metric (unit)Metric spaceModular designPure mathematicsDistortion (music)Algebra over a fieldDiscrete mathematicsMathematical analysisComputer scienceData miningOperations managementEconomicsComputer networkAmplifierOperating systemBandwidth (computing)Analytic and geometric function theory