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Han, Yongsheng; Lee, Ming-Yi; Li, Ji; Wick, Brett D.

Maximal functions, Littlewood-Paley theory, Riesz transforms and atomic decomposition in the multi-parameter flag setting. (English) Zbl 1498.42002

Memoirs of the American Mathematical Society 1373. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5345-9/pbk; 978-1-4704-7227-6/ebook). v, 102 p. (2022).

Reviewer: Krzysztof Stempak (Wrocław)

MSC: 42-02 42B25 42B30 42B20 42A85

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Zheng, Taotao; Xiao, Yanmei; He, Shaoyong; Tao, Xiangxing

\(T1\) theorem on homogeneous product Besov spaces and product Triebel-Lizorkin spaces. (English) Zbl 1494.42019

Banach J. Math. Anal. 16, No. 3, Paper No. 50, 34 p. (2022).

MSC: 42B20 42B25 42B35

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He, Shaoyong; Chen, Jiecheng

Mixed Lipschitz spaces and their applications. (English) Zbl 1513.42097

Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 2, 690-714 (2022).

MSC: 42B35 42B25 42B20

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He, Shaoyong; Zheng, Taotao

Boundedness of Calderón-Zygmund operators on inhomogeneous product Lipschitz spaces. (English) Zbl 1487.42037

J. Korean Math. Soc. 59, No. 3, 469-494 (2022).

MSC: 42B20 42B25 46E30

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He, Shaoyong; Chen, Jiecheng

Calderón-Zygmund operators on multiparameter Lipschitz spaces of homogeneous type. (English) Zbl 1486.42019

Forum Math. 34, No. 1, 175-196 (2022).

MSC: 42B20 42B25 46E35

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He, Shaoyong; Chen, Jiecheng

Inhomogeneous Lipschitz spaces associated with flag singular integrals and their applications. (English) Zbl 1482.42027

Math. Inequal. Appl. 24, No. 4, 965-987 (2021).

MSC: 42B20 42B35 42B25 46E30

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Zheng, Taotao; Chen, Jiecheng; Dai, Jiawei; He, Shaoyong; Tao, Xiangxing

Calderón-Zygmund operators on homogeneous product Lipschitz spaces. (English) Zbl 1460.42023

J. Geom. Anal. 31, No. 2, 2033-2057 (2021).

MSC: 42B20 42B25 46E35

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He, Shaoyong; Chen, Jiecheng

Boundedness of multi-parameter pseudo-differential operators on multi-parameter Lipschitz spaces. (English) Zbl 1451.42032

J. Pseudo-Differ. Oper. Appl. 11, No. 4, 1665-1683 (2020).

MSC: 42B35 42B25 42B20

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He, Shaoyong; Chen, Jiecheng

Three-parameter Hardy spaces associated with a sum of two flag singular integrals. (English) Zbl 1446.42031

Banach J. Math. Anal. 14, No. 4, 1363-1386 (2020).

MSC: 42B30 42B20 42B25 47B38

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