The Hajłasz Capacity Density Condition is Self-improving

We prove a self-improvement property of a capacity density condition for a nonlocal Hajłasz gradient in complete geodesic spaces with a doubling measure. The proof relates the capacity density condition with boundary Poincaré inequalities, adapts Keith–Zhong techniques for establishing local Hardy i...

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Veröffentlicht in:	The Journal of Geometric Analysis 2022-11, Vol.32 (11), Article 276
Hauptverfasser:	Canto, Javier, Vähäkangas, Antti V.
Format:	Artikel
Sprache:	eng
Schlagworte:	Abstract Harmonic Analysis Convex and Discrete Geometry Density Differential Geometry Dynamical Systems and Ergodic Theory Fourier Analysis Geometry Global Analysis and Analysis on Manifolds Inequalities Mathematics Mathematics and Statistics Specific gravity Upper bounds
Online-Zugang:	Volltext
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