Dual spaces of multiparameter local Hardy spaces
type: Item
instance of: scholarly article
title: Dual spaces of multiparameter local Hardy spaces
zbMATH Open document ID: 1480.42032
DOI: 10.1155/2021/9619925
author: Wei Ding
author: Feng Yu
published in: Journal of Function Spaces
publication date: 2022-01-05T00:00:00Z
review text: Summary: In this paper, we study the duality theory of the multiparameter local Hardy spaces \(h^p(\mathbb{R}^{n_1} \times \mathbb{R}^{n_2})\), and we prove that \((h^p(\mathbb{R}^{n_1} \times \mathbb{R}^{n_2}))^\ast=\mathrm{cmo}^p(\mathbb{R}^{n_1} \times \mathbb{R}^{n_2})\), where \(\mathrm{cmo}^p(\mathbb{R}^{n_1} \times \mathbb{R}^{n_2})\) are defined by discrete Carleson measure. Moreover, we discuss the relationship among \(\mathrm{cmo}^p(\mathbb{R}^{n_1} \times \mathbb{R}^{n_2})\), \(\mathrm{Lip}^p( \mathbb{R}^{n_1} \times \mathbb{R}^{n_2})\), and rectangle \(\mathrm{cmo}_{\mathrm{rect}}^p(\mathbb{R}^{n_1} \times \mathbb{R}^{n_2})\).
Mathematics Subject Classification ID: 42B30
Mathematics Subject Classification ID: 46B10
zbMATH DE Number: 7452509
zbMATH Keywords: Hardy-Littlewood maximal operator
zbMATH Keywords: singular integral operators
zbMATH Keywords: product Carleson measure space
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/9619925
OpenAlex ID: W4200599150
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description: scientific article; zbMATH DE number 7452509