Barilari, Davide (ed.); Ma, Xiaonan (ed.); Savale, Nikhil (ed.); Wang, Yi (ed.) Hypoelliptic operators in geometry. Abstracts from the workshop held May 21–26, 2023. (English) Zbl 1528.32001 Oberwolfach Rep. 20, No. 2, 1323-1396 (2023). MSC: 32-06 58-06 00B05 00B25 32A25 32V20 35H10 35H20 35K08 35R03 53C17 53C18 58C40 58J20 58J40 58J65 PDFBibTeX XMLCite \textit{D. Barilari} (ed.) et al., Oberwolfach Rep. 20, No. 2, 1323--1396 (2023; Zbl 1528.32001) Full Text: DOI
He, Shaoyong; Chen, Jiecheng Duality of three-parameter Hardy spaces associated with a sum of two flag singular integrals. (English) Zbl 1526.42037 Front. Math. (Beijing) 18, No. 4, 837-862 (2023). MSC: 42B35 42B30 42B20 PDFBibTeX XMLCite \textit{S. He} and \textit{J. Chen}, Front. Math. (Beijing) 18, No. 4, 837--862 (2023; Zbl 1526.42037) Full Text: DOI
Ding, Wei; Zou, Fangli Atomic decomposition of weighted multi-parameter mixed Hardy spaces. (English) Zbl 1527.42036 Bull. Malays. Math. Sci. Soc. (2) 46, No. 6, Paper No. 182, 20 p. (2023). Reviewer: Fayou Zhao (Shanghai) MSC: 42B35 42B30 42B25 42B20 PDFBibTeX XMLCite \textit{W. Ding} and \textit{F. Zou}, Bull. Malays. Math. Sci. Soc. (2) 46, No. 6, Paper No. 182, 20 p. (2023; Zbl 1527.42036) Full Text: DOI
Lu, Guozhen; Shen, Jiawei; Zhang, Lu Multi-parameter Hardy spaces theory and endpoint estimates for multi-parameter singular integrals. (English) Zbl 1510.42002 Memoirs of the American Mathematical Society 1388. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5537-8/pbk; 978-1-4704-7321-1/ebook). vi, 87 p. (2023). Reviewer: Vadim D. Kryakvin (Rostov-na-Donu) MSC: 42-02 42B20 42B25 42B30 PDFBibTeX XMLCite \textit{G. Lu} et al., Multi-parameter Hardy spaces theory and endpoint estimates for multi-parameter singular integrals. Providence, RI: American Mathematical Society (AMS) (2023; Zbl 1510.42002) Full Text: DOI
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 PDFBibTeX XMLCite \textit{Y. Han} et al., Maximal functions, Littlewood-Paley theory, Riesz transforms and atomic decomposition in the multi-parameter flag setting. Providence, RI: American Mathematical Society (AMS) (2022; Zbl 1498.42002) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{T. Zheng} et al., Banach J. Math. Anal. 16, No. 3, Paper No. 50, 34 p. (2022; Zbl 1494.42019) Full Text: DOI
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 PDFBibTeX XMLCite \textit{S. He} and \textit{J. Chen}, Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 2, 690--714 (2022; Zbl 1513.42097) Full Text: DOI
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 PDFBibTeX XMLCite \textit{S. He} and \textit{T. Zheng}, J. Korean Math. Soc. 59, No. 3, 469--494 (2022; Zbl 1487.42037) Full Text: DOI
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 PDFBibTeX XMLCite \textit{S. He} and \textit{J. Chen}, Forum Math. 34, No. 1, 175--196 (2022; Zbl 1486.42019) Full Text: DOI
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 PDFBibTeX XMLCite \textit{S. He} and \textit{J. Chen}, Math. Inequal. Appl. 24, No. 4, 965--987 (2021; Zbl 1482.42027) Full Text: DOI
Folland, Gerald B. The Heisenberg group and its relatives in the work of Elias M. Stein. (English) Zbl 1482.43011 J. Geom. Anal. 31, No. 7, 6681-6697 (2021). MSC: 43A80 32V20 35B65 42B20 42B37 PDFBibTeX XMLCite \textit{G. B. Folland}, J. Geom. Anal. 31, No. 7, 6681--6697 (2021; Zbl 1482.43011) Full Text: DOI
Chang, Der-Chen; Han, Yongsheng; Wu, Xinfeng Relations between product and flag Hardy spaces. (English) Zbl 1471.42034 J. Geom. Anal. 31, No. 7, 6601-6623 (2021). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 42B20 42B30 46J15 PDFBibTeX XMLCite \textit{D.-C. Chang} et al., J. Geom. Anal. 31, No. 7, 6601--6623 (2021; Zbl 1471.42034) Full Text: DOI
Yang, Jiexing; Liu, Zongguang; Wu, Xinfeng Weighted Leibniz-type rules for bilinear flag multipliers. (English) Zbl 1469.42020 Banach J. Math. Anal. 15, No. 3, Paper No. 56, 39 p. (2021). MSC: 42B20 42B15 47G99 PDFBibTeX XMLCite \textit{J. Yang} et al., Banach J. Math. Anal. 15, No. 3, Paper No. 56, 39 p. (2021; Zbl 1469.42020) Full Text: DOI
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 PDFBibTeX XMLCite \textit{T. Zheng} et al., J. Geom. Anal. 31, No. 2, 2033--2057 (2021; Zbl 1460.42023) Full Text: DOI
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 PDFBibTeX XMLCite \textit{S. He} and \textit{J. Chen}, J. Pseudo-Differ. Oper. Appl. 11, No. 4, 1665--1683 (2020; Zbl 1451.42032) Full Text: DOI
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 PDFBibTeX XMLCite \textit{S. He} and \textit{J. Chen}, Banach J. Math. Anal. 14, No. 4, 1363--1386 (2020; Zbl 1446.42031) Full Text: DOI
Chen, Jiao; Ding, Wei; Lu, Guozhen Boundedness of multi-parameter pseudo-differential operators on multi-parameter local Hardy spaces. (English) Zbl 1442.42054 Forum Math. 32, No. 4, 919-936 (2020). MSC: 42B35 42B30 42B25 42B37 42B20 35S05 46J15 PDFBibTeX XMLCite \textit{J. Chen} et al., Forum Math. 32, No. 4, 919--936 (2020; Zbl 1442.42054) Full Text: DOI
Ding, Wei; Lu, Guozhen Boundedness of inhomogeneous Journé’s type operators on multi-parameter local Hardy spaces. (English) Zbl 1440.42052 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 197, Article ID 111816, 30 p. (2020). MSC: 42B20 42B35 42B30 42B25 PDFBibTeX XMLCite \textit{W. Ding} and \textit{G. Lu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 197, Article ID 111816, 30 p. (2020; Zbl 1440.42052) Full Text: DOI
Hong, Qing; Hu, Guorong Molecular decomposition and a class of Fourier multipliers for bi-parameter modulation spaces. (English) Zbl 1480.42035 Commun. Pure Appl. Anal. 18, No. 6, 3103-3120 (2019). Reviewer: Koichi Saka (Akita) MSC: 42B35 42B25 42B15 PDFBibTeX XMLCite \textit{Q. Hong} and \textit{G. Hu}, Commun. Pure Appl. Anal. 18, No. 6, 3103--3120 (2019; Zbl 1480.42035) Full Text: DOI
Han, Yongsheng; Lin, Chin-Cheng; Wu, Xinfeng Boundedness of singular integrals with flag kernels on weighted flag Hardy spaces. (English) Zbl 1434.42017 Pac. J. Math. 302, No. 2, 545-598 (2019). MSC: 42B20 42B30 47G10 PDFBibTeX XMLCite \textit{Y. Han} et al., Pac. J. Math. 302, No. 2, 545--598 (2019; Zbl 1434.42017) Full Text: DOI
Han, Yongsheng; Li, Ji; Lin, Chin-Cheng; Tan, Chaoqiang Singular integrals associated with Zygmund dilations. (English) Zbl 1430.42017 J. Geom. Anal. 29, No. 3, 2410-2455 (2019). Reviewer: Qingying Xue (Beijing) MSC: 42B20 42B30 PDFBibTeX XMLCite \textit{Y. Han} et al., J. Geom. Anal. 29, No. 3, 2410--2455 (2019; Zbl 1430.42017) Full Text: DOI
Ding, Wei; Lu, Guozhen; Zhu, YuePing Multi-parameter local Hardy spaces. (English) Zbl 1418.42038 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 184, 352-380 (2019). Reviewer: Koichi Saka (Akita) MSC: 42B35 42B20 42B25 42B30 PDFBibTeX XMLCite \textit{W. Ding} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 184, 352--380 (2019; Zbl 1418.42038) Full Text: DOI
Głowacki, Paweł \(L^p\)-multipliers sensitive to the group structure on nilpotent Lie groups. (English) Zbl 1423.42017 J. Fourier Anal. Appl. 25, No. 4, 1632-1672 (2019). Reviewer: Michael J. Puls (New York) MSC: 42B15 42B20 42B25 PDFBibTeX XMLCite \textit{P. Głowacki}, J. Fourier Anal. Appl. 25, No. 4, 1632--1672 (2019; Zbl 1423.42017) Full Text: DOI
Han, Yanchang; Han, Yongsheng; Li, Ji; Tan, Chaoqiang Marcinkiewicz multipliers and Lipschitz spaces on Heisenberg groups. (English) Zbl 1418.42029 Can. J. Math. 71, No. 3, 607-627 (2019). Reviewer: Włodzimierz Łenski (Poznań) MSC: 42B25 42B35 43A17 PDFBibTeX XMLCite \textit{Y. Han} et al., Can. J. Math. 71, No. 3, 607--627 (2019; Zbl 1418.42029) Full Text: DOI arXiv
Duong, Xuan Thinh; Li, Ji; Ou, Yumeng; Pipher, Jill; Wick, Brett D. Commutators of multiparameter flag singular integrals and applications. (English) Zbl 1405.42041 Anal. PDE 12, No. 5, 1325-1355 (2019). MSC: 42B30 42B20 42B35 PDFBibTeX XMLCite \textit{X. T. Duong} et al., Anal. PDE 12, No. 5, 1325--1355 (2019; Zbl 1405.42041) Full Text: DOI arXiv
Nagel, Alexander; Ricci, Fulvio; Stein, Elias M.; Wainger, Stephen Algebras of singular integral operators with kernels controlled by multiple norms. (English) Zbl 1445.42001 Memoirs of the American Mathematical Society 1230. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3438-0/pbk; 978-1-4704-4923-0/ebook). vii, 141 p. (2018). Reviewer: Vadim D. Kryakvin (Rostov-na-Donu) MSC: 42-02 42B25 42B20 35S05 47G10 PDFBibTeX XMLCite \textit{A. Nagel} et al., Algebras of singular integral operators with kernels controlled by multiple norms. Providence, RI: American Mathematical Society (AMS) (2018; Zbl 1445.42001) Full Text: DOI arXiv
Zhang, Xiaojin; Liu, Zongguang Weighted norm inequalities for bilinear flag Fourier multipliers. (English) Zbl 1397.42008 Stud. Math. 242, No. 1, 31-55 (2018). MSC: 42B20 42B25 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{Z. Liu}, Stud. Math. 242, No. 1, 31--55 (2018; Zbl 1397.42008) Full Text: DOI
Hu, Guorong; Li, Ji Boundedness of singular integrals on the flag Hardy spaces on Heisenberg group. (English) Zbl 1385.42024 J. Math. Anal. Appl. 460, No. 2, 618-633 (2018). Reviewer: Koichi Saka (Akita) MSC: 42B35 42B25 42C40 42B30 42B20 22E30 43A80 PDFBibTeX XMLCite \textit{G. Hu} and \textit{J. Li}, J. Math. Anal. Appl. 460, No. 2, 618--633 (2018; Zbl 1385.42024) Full Text: DOI arXiv
Kępa, Grzegorz Invertibility in the flag kernels algebra on the Heisenberg group. (English) Zbl 1353.42018 J. Fourier Anal. Appl. 22, No. 5, 1076-1096 (2016). Reviewer: Koichi Saka (Akita) MSC: 42B99 42B20 43A80 43A65 22E30 47B34 PDFBibTeX XMLCite \textit{G. Kępa}, J. Fourier Anal. Appl. 22, No. 5, 1076--1096 (2016; Zbl 1353.42018) Full Text: DOI arXiv
Ding, Wei; Lu, Guozhen Duality of multi-parameter Triebel-Lizorkin spaces associated with the composition of two singular integral operators. (English) Zbl 1338.42025 Trans. Am. Math. Soc. 368, No. 10, 7119-7152 (2016). Reviewer: Yasuo Komori-Furuya (Kanagawa) MSC: 42B35 42B20 46E35 42B30 42B25 PDFBibTeX XMLCite \textit{W. Ding} and \textit{G. Lu}, Trans. Am. Math. Soc. 368, No. 10, 7119--7152 (2016; Zbl 1338.42025) Full Text: DOI Link
Chen, Lu; Lu, Guozhen; Luo, Xiang Boundedness of multi-parameter Fourier multiplier operators on Triebel-Lizorkin and Besov-Lipschitz spaces. (English) Zbl 1333.42013 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 134, 55-69 (2016). MSC: 42B15 42B25 42B35 46E35 PDFBibTeX XMLCite \textit{L. Chen} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 134, 55--69 (2016; Zbl 1333.42013) Full Text: DOI
Kim, Joonil Multiple Hilbert transforms associated with polynomials. (English) Zbl 1330.42003 Mem. Am. Math. Soc. 1119, v, 120 p. (2015). Reviewer: Wen Yuan (Beijing) MSC: 42B10 42B20 44A15 42B25 PDFBibTeX XMLCite \textit{J. Kim}, Multiple Hilbert transforms associated with polynomials. Providence, RI: American Mathematical Society (AMS) (2015; Zbl 1330.42003) Full Text: DOI arXiv
Wu, Xinfeng An atomic decomposition characterization of flag Hardy spaces \(H^p_F(\mathbb R^n\times\mathbb R^m)\) with applications. (English) Zbl 1302.42029 J. Geom. Anal. 24, No. 2, 613-626 (2014). MSC: 42B30 42B35 42B20 PDFBibTeX XMLCite \textit{X. Wu}, J. Geom. Anal. 24, No. 2, 613--626 (2014; Zbl 1302.42029) Full Text: DOI arXiv
Street, Brian Multi-parameter singular Radon transforms. I: The \(L^2\) theory. (English) Zbl 1281.44003 J. Anal. Math. 116, 83-162 (2012). Reviewer: Khristo N. Boyadzhiev (Ada) MSC: 44A12 PDFBibTeX XMLCite \textit{B. Street}, J. Anal. Math. 116, 83--162 (2012; Zbl 1281.44003) Full Text: DOI arXiv
Nagel, Alexander; Ricci, Fulvio; Stein, Elias M.; Wainger, Stephen Singular integrals with flag kernels on homogeneous groups, I. (English) Zbl 1253.42009 Rev. Mat. Iberoam. 28, No. 3, 631-722 (2012). Reviewer: Yang Dachun (Beijing) MSC: 42B20 42B25 20D15 PDFBibTeX XMLCite \textit{A. Nagel} et al., Rev. Mat. Iberoam. 28, No. 3, 631--722 (2012; Zbl 1253.42009) Full Text: DOI arXiv
Wu, Xinfeng; Liu, Zongguang Characterizations of multiparameter Besov and Triebel-Lizorkin spaces associated with flag singular integrals. (English) Zbl 1255.46017 J. Funct. Spaces Appl. 2012, Article ID 275791, 18 p. (2012). MSC: 46E35 46E30 PDFBibTeX XMLCite \textit{X. Wu} and \textit{Z. Liu}, J. Funct. Spaces Appl. 2012, Article ID 275791, 18 p. (2012; Zbl 1255.46017) Full Text: DOI