Product hardy spaces associated with para-accretive functions and Tb theorem

Ming-Yi Lee; Ji Li; Chin-Cheng Lin

Product hardy spaces associated with para-accretive functions and Tb theorem

Ming-Yi Lee, Ji Li, Chin-Cheng Lin

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

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
Publication status	Published - 2019

Keywords

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

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http://nyjm.albany.edu/j/2019/25-59.htmlLicence: Unspecified

Cite this

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title = "Product hardy spaces associated with para-accretive functions and Tb theorem",

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.",

keywords = "Caldern{\'o}n-Zygmund operator, Journ{\'e}{\textquoteright}s class, Carleson measure space, Littlewood-Paley function, para-accretive function, product Hardy space",

author = "Ming-Yi Lee and Ji Li and Chin-Cheng Lin",

year = "2019",

language = "English",

volume = "25",

pages = "1438--1484",

journal = "New York Journal of Mathematics",

issn = "1076-9803",

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T1 - Product hardy spaces associated with para-accretive functions and Tb theorem

AU - Lee, Ming-Yi

AU - Li, Ji

AU - Lin, Chin-Cheng

PY - 2019

Y1 - 2019

N2 - 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.

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 - Journé’s class

KW - Carleson measure space

KW - Littlewood-Paley function

KW - para-accretive function

KW - product Hardy space

UR - https://www.scopus.com/pages/publications/85078588782

UR - http://purl.org/au-research/grants/arc/DP170101060

M3 - Article

AN - SCOPUS:85078588782

SN - 1076-9803

VL - 25

SP - 1438

EP - 1484

JO - New York Journal of Mathematics

JF - New York Journal of Mathematics

ER -

Product hardy spaces associated with para-accretive functions and Tb theorem

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Harmonic analysis and dispersive partial differential equations

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Product hardy spaces associated with para-accretive functions and Tb theorem

Abstract

Keywords

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Harmonic analysis and dispersive partial differential equations

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