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Weighted multi-parameter mixed Hardy spaces and their applications

Wei Ding;  Yun Xu;  Yueping Zhu — 2022

Czechoslovak Mathematical Journal

Applying discrete Calderón’s identity, we study weighted multi-parameter mixed Hardy space H mix p ( ω , ℝ n 1 × ℝ n 2 ) . 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 H mix p ( ω , ℝ n 1 × ℝ n 2 ) of operators in mixed Journé’s class.

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