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Quasihyperbolic mappings in Banach spaces

Qingshan Zhou

2021Annales Fennici Mathematici10 citationsDOIOpen Access PDF

Abstract

In this paper, we establish several characterizations for quasihyperbolic mappings in Banach spaces. As an application, we provide a partial solution to a problem left open by Väisälä regarding the local properties of quasihyperbolic mappings.

Topics & Concepts

Banach spaceMathematicsBanach manifoldPure mathematicsInterpolation spaceLp spaceEberlein–Šmulian theoremFunctional analysisBiochemistryGeneChemistryAnalytic and geometric function theoryDifferential Equations and Boundary ProblemsNonlinear Partial Differential Equations