Riesz Transforms for Dirichlet Spaces Tamed by Distributional Curvature Lower Bounds

Explore a 54-minute conference talk from the Workshop on "Synthetic Curvature Bounds for Non-Smooth Spaces: Beyond Finite Dimension" held at the Erwin Schrödinger International Institute for Mathematics and Physics (ESI). Delve into the Lp-boundedness of positive order Riesz transforms within the framework of tamed Dirichlet space, considering distributional curvature lower bounds of Kato class. Discover insights on the Lp-boundedness of 0-order Riesz transforms under the gaugeability condition for the lower bound of curvature. Learn about this joint work by Kazuhiro Kuwae, Syota Esaki (Fukuoka University), and Zi Jian Xu (Fukuoka University), presented as part of the ESI workshop in May 2024.