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Regularity of harmonic functions in Cheeger-type Sobolev spaces

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Publication:1771565
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DOI10.1023/B:AGAG.0000047527.65948.c5zbMath1081.58010MaRDI QIDQ1771565

Shin-Ichi Ohta

Publication date: 18 April 2005

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)


zbMATH Keywords

Banach spacesHölder continuityharmonic functionscurvature boundCheeger-type energy form


Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20)


Related Items (6)

Convergence theorems for generalized hemicontractive mapping in p-uniformly convex metric space ⋮ Convexities of metric spaces ⋮ Uniform convexity and smoothness, and their applications in Finsler geometry ⋮ Markov Type of Alexandrov Spaces of Non‐Negative Curvature Shin‐Ichi Ohta ⋮ Reconstructions of distances by energy forms ⋮ Proximal-type algorithms for split minimization problem in P-uniformly convex metric spaces




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