Product Hardy Spaces on Spaces of Homogeneous Type: Discrete Product Calderón-Type Reproducing Formula, Atomic Characterization, and Product Calderón--Zygmund Operators

Ziyi He, Dachun Yang, Taotao Zheng

Let $i\in \{1,2\}$ and $X_i$ be a space of homogeneous type in the sense of Coifman and Weiss with the upper dimension $\ddot{I}{‰}_i$. Also let $\hat{I}{\cdot }_i$ be the smoothness index of the Auscher…