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Ming-Yi Lee,
Ji Li, and
Chin-Cheng Lin
Product Hardy spaces associated with para-accretive functions and Tb theorem
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| Published: |
December 15, 2019. |
| Keywords: |
Caldernón-Zygmund operator, Journé's class, Carleson measure space, Littlewood-Paley function, para-accretive function, product Hardy space. |
| Subject: |
42B20, 42B30. |
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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 Tb theorem with respect to our Hardy spaces and the dual spaces. |
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| Acknowledgements
The first and third authors are supported by Ministry of Science and Technology, R.O.C. under Grant #MOST 108-2115-M-008-002-MY2 and Grant #MOST 106-2115-M-008-004-MY3, respectively,
as well as supported by National Center for Theoretical Sciences of Taiwan.
The second author is supported by ARC DP 170101060 and Macquarie University New Staff Grant.
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| Author information
Ming-Yi Lee:
Department of Mathematics
National Central University
Chung-Li 320, Taiwan, Republic of China
mylee@math.ncu.edu.tw
Ji Li:
Department of Mathematics
Macquarie University
NSW 2109, Australia
ji.li@mq.edu.au
Chin-Cheng Lin:
Department of Mathematics
National Central University
Chung-Li 320, Taiwan, Republic of China
clin@math.ncu.edu.tw
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