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Journal of Zhejiang University SCIENCE A

ISSN 1673-565X(Print), 1862-1775(Online), Monthly

A CLASS OF MARCINKIEWICZ INTEGRAL OPERATORS ON PRODUCT DOMAINS

Abstract: In this paper, the author proves that the Lp-boundedness of the Marcinkiewicz integral μΩ on product domains Rn×Rm; for Ω(1)∩(5) improves the result of Chen et al. (2000).

Key words: Marcinkiewicz integral operator, rough kernel, product domains, square functions


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DOI:

10.1631/jzus.2001.0257

CLC number:

O174

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On-line Access:

2024-08-27

Received:

2023-10-17

Revision Accepted:

2024-05-08

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