Kazuhiro Kuwae

activity

20202026

collaborators

4 papers

math.MG2026

On higher order Morrey's inequalities over RCD{\boldmath $(K, N)$ }-spaces

Jun Kitagawa, Kazuhiro Kuwae

In this paper, we establish a higher order Morrey's inequality in the framework of %non-collapsed $RCD (K, N)$ -spaces for $K \in R$ and $N \in N$ . We do so by…

math.PR2025

A remark on subharmonicity for symmetric Dirichlet forms

Kazuhiro Kuwae, Rong Lei, Ludovico Marini

We remove the local boundedness for $E_{α}$ -subharmonicity in the framework of (not necessarily strongly local) regular symmetric Dirichlet form $(\mathscr{E},D(\mathscr{E}…

math.PR2023

Hess-Schrader-Uhlenbrock inequality for the heat semigroup on differential forms over Dirichlet spaces tamed by distributional curvature lower bounds

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…

math.PR2020

$L^{p}$ -Kato class measures for symmetric Markov processes under heat kernel estimates

Kazuhiro Kuwae, Takahiro Mori

In this paper, we establish the coincidence of two classes of $L^{p}$ -Kato class measures in the framework of symmetric Markov processes admitting upper and lower estimates of heat k…

On higher order Morrey's inequalities over RCD{\boldmath(K,N)}-spaces

A remark on subharmonicity for symmetric Dirichlet forms

Hess-Schrader-Uhlenbrock inequality for the heat semigroup on differential forms over Dirichlet spaces tamed by distributional curvature lower bounds

Lp-Kato class measures for symmetric Markov processes under heat kernel estimates

On higher order Morrey's inequalities over RCD{\boldmath $(K, N)$ }-spaces

$L^{p}$ -Kato class measures for symmetric Markov processes under heat kernel estimates