Singular integrals on Carleson measure spaces ${CMO}^p$ on product spaces of homogeneous type
Singular integrals on Carleson measure spaces ${CMO}^p$ on product spaces of homogeneous type
In the setting of product spaces $\widetilde {M}$ of homogeneous type, we prove that every product non-isotropic smooth (NIS) operator $T$ is bounded on the generalized Carleson measure space $\textrm {CMO}^p(\widetilde {M})$ of Han, Li and Lu for $p_0 < p < 1$. Here $p_0$ depends on the homogeneous dimensions …