Weighted Besov and Triebel--Lizorkin spaces associated to operators

Huy-Qui Bui, The Anh Bui, Xuan Thinh Duong

Let $X$ be a space of homogeneous type and $L$ be a nonnegative self-adjoint operator on $L^2(X)$ satisfying Gaussian upper bounds on its heat kernels. In this paper we develop the…