Maximal function characterizations for new local Hardy type spaces on spaces of homogeneous type

The Anh Bui, Xuan Thinh Duong, Fu Ken Ly

Let $X$ be a space of homogeneous type and let $\mathfrak{L}$ be a nonnegative self-adjoint operator on $L^2(X)$ enjoying Gaussian estimates. The main aim of this paper is twofold.…