37 citations · 78 across the 19 of their papers we have counts for
20 papers
Energy integrals and asymmetric co-potentials for closed forms
Kazuhiro Kuwae, Takumu Ooi, Kaneharu Tsuchida +1
We investigate the class of measures of finite energy integrals and the behavior of potentials and co-potentials associated with non-symmetric closed forms. In particular, we compa…
Riesz transforms for Dirichlet spaces tamed by distributional curvature lower bounds
Syota Esaki, Zi Jian Xu, Kazuhiro Kuwae
The notion of tamed Dirichlet space was proposed by Erbar, Rigoni, Sturm and Tamanini as a Dirichlet space having a weak form of Bakry-Émery curvature lower bounds in distribution…
Locally convex aspects of the Kato and the Dynkin class on manifolds
Batu Güneysu, Kazuhiro Kuwae
We consider the Kato and the Dynkin class and their local counterparts on a smooth Riemannian manifold as Fréchet spaces. Based on recent results by Carron, Mondello and Tewodrose…
The Littlewood-Paley-Stein inequality for Dirichlet space tamed by signed measured curvature lower bounds
Syota Esaki, Kazuhiro Kuwae, Zi Jian Xu
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…
Stability of estimates for fundamental solutions under Feynman-Kac perturbations for symmetric Markov processes
Daehong Kim, Panki Kim, Kazuhiro Kuwae
In this paper, when a given symmetric Markov process X satisfies the stability of global heat kernel two-sided (upper) estimates by Markov perturbations, we give a necessary and su…
Laplacian comparison theorem on Riemannian manifolds with modified m-Bakry-Emery Ricci lower bounds for
Kazuhiro Kuwae, Toshiki Shukuri
In this paper, we prove a Laplacian comparison theorem for non-symmetric diffusion operator on complete smooth -dimensional Riemannian manifold having a lower bound of modified…