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arXiv · 2307.12514

The Littlewood-Paley-Stein inequality for Dirichlet space tamed by signed measured curvature lower bounds

Syota Esaki·Kazuhiro Kuwae·Zi Jian Xu
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Abstract

The notion of tamed Dirichlet space by distributional lower Ricci curvature bounds was proposed by Erbar--Rigoni--Sturm--Tamanini as the Dirichlet space having a weak form of Bakry--\'Emery curvature lower bounds in distribution sense. In this framework, we establish the Littlewood--Paley--Stein inequality for $L^p$-functions which partially generalizes the result by Kawabi--Miyokawa.

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Syota Esaki, Kazuhiro Kuwae, Zi Jian Xu. 2023-07-24. The Littlewood-Paley-Stein inequality for Dirichlet space tamed by signed measured curvature lower bounds. https://arxiv.org/abs/2307.12514

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