Product hardy spaces associated with para-accretive functions and T b theorem

Ming Yi Lee; Ji Li; Chin Cheng Lin

Product hardy spaces associated with para-accretive functions and T b theorem

Ming Yi Lee, Ji Li, Chin Cheng Lin

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We introduce the Hardy spaces associated with para-accretive functions in product domains and demonstrate their atomic decompositions as well as duality. Then, we establish the endpoint version of product T b theorem with respect to our Hardy spaces and the dual spaces.

Original language	English
Pages (from-to)	1438-1484
Number of pages	47
Journal	New York Journal of Mathematics
Volume	25
State	Published - 2019

Keywords

Caldernón-Zygmund operator
Carleson measure space
Journé’s class
Littlewood-Paley function
Para-accretive function
Product Hardy space

Bmo Spaces Associated with a Family of General Sets(2/3)
Lin, C.-C. (PI)
1/08/18 → 31/07/19
Project: Research

Cite this

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abstract = "We introduce the Hardy spaces associated with para-accretive functions in product domains and demonstrate their atomic decompositions as well as duality. Then, we establish the endpoint version of product T b theorem with respect to our Hardy spaces and the dual spaces.",

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AU - Li, Ji

AU - Lin, Chin Cheng

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AB - We introduce the Hardy spaces associated with para-accretive functions in product domains and demonstrate their atomic decompositions as well as duality. Then, we establish the endpoint version of product T b theorem with respect to our Hardy spaces and the dual spaces.

KW - Caldernón-Zygmund operator

KW - Carleson measure space

KW - Journé’s class

KW - Littlewood-Paley function

KW - Para-accretive function

KW - Product Hardy space

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M3 - 期刊論文

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VL - 25

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JO - New York Journal of Mathematics

JF - New York Journal of Mathematics

ER -

Product hardy spaces associated with para-accretive functions and T b theorem

Abstract

Keywords

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Bmo Spaces Associated with a Family of General Sets(2/3)

Cite this