Dual Spaces of Multiparameter Local Hardy Spaces. (3rd December 2021)

• Record Type: Journal Article
• Authors: Ding, Wei; Yu, Feng
• Other Names: Ho Kwok-Pun Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-12-03
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/9619925
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this paper, we study the duality theory of the multiparameter local Hardy spaces h p ℝ n 1 × ℝ n 2, and we prove that h p ℝ n 1 × ℝ n 2 ∗ = cm o p ℝ n 1 × ℝ n 2, where cm o p ℝ n 1 × ℝ n 2 are defined by discrete Carleson measure. Moreover, we discuss the relationship among cm o p ℝ n 1 × ℝ n 2, Li p p ℝ n 1 × ℝ n 2, and rectangle cm o rect p ℝ n 1 × ℝ n 2 .