Weighted L... Estimates for Derivates of Weighted H... Functions.
Applying discrete Calderón’s identity, we study weighted multi-parameter mixed Hardy space . Different from classical multi-parameter Hardy space, this space has characteristics of local Hardy space and Hardy space in different directions, respectively. As applications, we discuss the boundedness on of operators in mixed Journé’s class.
We prove a T1 theorem and develop a version of Calderón-Zygmund theory for ω-CZO when .