A NOTE ON LOCAL GRADIENT ESTIMATE ON ALEXANDROV SPACES
2014 年 66 巻 2 号 p. 259-267
詳細
2014 年 66 巻 2 号 p. 259-267
In this note, we prove Cheng-Yau type local gradient estimate for harmonic functions on Alexandrov spaces with Ricci curvature bounded below. We adopt a refined version of Moser's iteration which is based on Zhang-Zhu's Bochner type formula in [24]. Our result improves the previous one of Zhang-Zhu [24] in the case of negative Ricci lower bound.
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