Maximal Functions, Littlewood–Paley Theory, Riesz Transforms and Atomic Decomposition in the Multi-parameter Flag Setting

In this paper, we develop via real variable methods various characterisations of the Hardy spaces in the multi-parameter flag setting. These characterisations include those via, the non-tangential and radial maximal function, the Littlewood–Paley square function and area integral, Riesz transforms a...

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Bibliographic Details

Main Authors:	Han, Yongsheng, Lee, Ming-Yi, Li, Ji, Wick, Brett D.
Format:	eBook Book
Language:	English
Published:	Providence, Rhode Island American Mathematical Society 2022
Edition:	1
Series:	Memoirs of the American Mathematical Society
Subjects:	Hardy spaces Littlewood-Paley theory Maximal functions flag Hardy space flag Riesz transforms maximal function Littlewood–Paley square function atomic decomposition Lusin area integral
ISBN:	1470453452, 9781470453459
ISSN:	0065-9266, 1947-6221
Online Access:	Get full text
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