Bu, Fan; Yang, Dachun; Yuan, Wen Real-variable characterizations and their applications of matrix-weighted Besov spaces on spaces of homogeneous type. (English) Zbl 07762653 Math. Z. 305, No. 1, Paper No. 16, 81 p. (2023). MSC: 46E36 42B35 42B25 42B20 30L99 PDFBibTeX XMLCite \textit{F. Bu} et al., Math. Z. 305, No. 1, Paper No. 16, 81 p. (2023; Zbl 07762653) Full Text: DOI
Yan, Xianjie; He, Ziyi; Yang, Dachun; Yuan, Wen Hardy spaces associated with ball quasi-Banach function spaces on spaces of homogeneous type: characterizations of maximal functions, decompositions, and dual spaces. (English) Zbl 1528.42028 Math. Nachr. 296, No. 7, 3056-3116 (2023). Reviewer: Kwok Pun Ho (Hong Kong) MSC: 42B30 42B25 42B35 46E36 30L99 PDFBibTeX XMLCite \textit{X. Yan} et al., Math. Nachr. 296, No. 7, 3056--3116 (2023; Zbl 1528.42028) Full Text: DOI arXiv
Jia, Hongchao; Weisz, Ferenc; Yang, Dachun; Yuan, Wen; Zhang, Yangyang Atomic characterization of Musielak-Orlicz-Lorentz Hardy spaces and its applications to real interpolation and boundedness of Calderón-Zygmund operators. (English) Zbl 1512.42031 J. Geom. Anal. 33, No. 6, Paper No. 188, 85 p. (2023). MSC: 42B30 42B20 42B25 46B70 46E30 PDFBibTeX XMLCite \textit{H. Jia} et al., J. Geom. Anal. 33, No. 6, Paper No. 188, 85 p. (2023; Zbl 1512.42031) Full Text: DOI
Alvarado, Ryan; Wang, Fan; Yang, Dachun; Yuan, Wen Pointwise characterization of Besov and Triebel-Lizorkin spaces on spaces of homogeneous type. (English) Zbl 1519.46028 Stud. Math. 268, No. 2, 121-166 (2023). MSC: 46E36 46E35 42B25 30L99 PDFBibTeX XMLCite \textit{R. Alvarado} et al., Stud. Math. 268, No. 2, 121--166 (2023; Zbl 1519.46028) Full Text: DOI arXiv
Wang, Fan; Yang, Dachun; Yuan, Wen Wavelet characterization of Triebel-Lizorkin spaces for \(p = \infty\) on spaces of homogeneous type and its applications. (English) Zbl 07628663 J. Approx. Theory 285, Article ID 105838, 50 p. (2023). MSC: 42C40 42B35 46E36 46E35 46E39 42B25 30L99 PDFBibTeX XMLCite \textit{F. Wang} et al., J. Approx. Theory 285, Article ID 105838, 50 p. (2023; Zbl 07628663) Full Text: DOI
Wang, Fan; He, Ziyi; Yang, Dachun; Yuan, Wen Difference characterization of Besov and Triebel-Lizorkin spaces on spaces of homogeneous type. (English) Zbl 1505.46036 Commun. Math. Stat. 10, No. 3, 483-542 (2022). Reviewer: Hans Triebel (Jena) MSC: 46E36 46E35 42B25 42B20 42B35 30L99 PDFBibTeX XMLCite \textit{F. Wang} et al., Commun. Math. Stat. 10, No. 3, 483--542 (2022; Zbl 1505.46036) Full Text: DOI arXiv
Dai, Feng; Lin, Xiaosheng; Yang, Dachun; Yuan, Wen; Zhang, Yangyang Poincaré inequality meets Brezis-Van Schaftingen-Yung formula on metric measure spaces. (English) Zbl 1504.46049 J. Funct. Anal. 283, No. 9, Article ID 109645, 52 p. (2022). MSC: 46E36 26D10 30L15 26A33 PDFBibTeX XMLCite \textit{F. Dai} et al., J. Funct. Anal. 283, No. 9, Article ID 109645, 52 p. (2022; Zbl 1504.46049) Full Text: DOI arXiv
Yan, Xian Jie; He, Zi Yi; Yang, Da Chun; Yuan, Wen Hardy spaces associated with ball quasi-Banach function spaces on spaces of homogeneous type: Littlewood-Paley characterizations with applications to boundedness of Calderón-Zygmund operators. (English) Zbl 1493.42038 Acta Math. Sin., Engl. Ser. 38, No. 7, 1133-1184 (2022). MSC: 42B30 42B25 42B35 46E36 30L99 PDFBibTeX XMLCite \textit{X. J. Yan} et al., Acta Math. Sin., Engl. Ser. 38, No. 7, 1133--1184 (2022; Zbl 1493.42038) Full Text: DOI
Chang, Der-Chen; Fu, Xing; Yang, Dachun Boundedness of paraproducts on spaces of homogeneous. I. (English) Zbl 1487.42028 Appl. Anal. 101, No. 6, 2144-2169 (2022). MSC: 42B20 42B25 42C40 30L99 PDFBibTeX XMLCite \textit{D.-C. Chang} et al., Appl. Anal. 101, No. 6, 2144--2169 (2022; Zbl 1487.42028) Full Text: DOI
Sun, Jingsong; Yang, Dachun; Yuan, Wen Weak Hardy spaces associated with ball quasi-Banach function spaces on spaces of homogeneous type: decompositions, real interpolation, and Calderón-Zygmund operators. (English) Zbl 1493.42037 J. Geom. Anal. 32, No. 7, Paper No. 191, 85 p. (2022). Reviewer: Kôzô Yabuta (Nishinomiya) MSC: 42B30 42B25 42B20 42B35 46E36 30L99 PDFBibTeX XMLCite \textit{J. Sun} et al., J. Geom. Anal. 32, No. 7, Paper No. 191, 85 p. (2022; Zbl 1493.42037) Full Text: DOI arXiv
Jia, Hongchao; Tao, Jin; Yang, Dachun; Yuan, Wen; Zhang, Yangyang Boundedness of Calderón-Zygmund operators on special John-Nirenberg-Campanato and Hardy-type spaces via congruent cubes. (English) Zbl 1486.42021 Anal. Math. Phys. 12, No. 1, Paper No. 15, 56 p. (2022). Reviewer: Sunggeum Hong (Gwangju) MSC: 42B20 47A30 42B30 46E35 42B35 PDFBibTeX XMLCite \textit{H. Jia} et al., Anal. Math. Phys. 12, No. 1, Paper No. 15, 56 p. (2022; Zbl 1486.42021) Full Text: DOI arXiv
He, Ziyi; Yang, Dachun; Yuan, Wen Real-variable characterizations of local Hardy spaces on spaces of homogeneous type. (English) Zbl 1528.42026 Math. Nachr. 294, No. 5, 900-955 (2021). Reviewer: Pablo Alejandro Rocha (Buenos Aires) MSC: 42B30 42B35 42B20 30L99 PDFBibTeX XMLCite \textit{Z. He} et al., Math. Nachr. 294, No. 5, 900--955 (2021; Zbl 1528.42026) Full Text: DOI arXiv
Wang, Fan; Han, Yongsheng; He, Ziyi; Yang, Dachun Besov and Triebel-Lizorkin spaces on spaces of homogeneous type with applications to boundedness of Calderón-Zygmund operators. (English) Zbl 1489.46044 Diss. Math. 565, 1-113 (2021). Reviewer: Wen Yuan (Beijing) MSC: 46E36 42B25 42B20 42B35 30L99 PDFBibTeX XMLCite \textit{F. Wang} et al., Diss. Math. 565, 1--113 (2021; Zbl 1489.46044) Full Text: DOI arXiv
He, Ziyi; Wang, Fan; Yang, Dachun; Yuan, Wen Wavelet characterization of Besov and Triebel-Lizorkin spaces on spaces of homogeneous type and its applications. (English) Zbl 1477.46041 Appl. Comput. Harmon. Anal. 54, 176-226 (2021). Reviewer: Jie Xiao (St. John’s) MSC: 46E35 46E36 46E39 42B25 30L99 PDFBibTeX XMLCite \textit{Z. He} et al., Appl. Comput. Harmon. Anal. 54, 176--226 (2021; Zbl 1477.46041) Full Text: DOI arXiv
Fu, Xing; Yang, Dachun; Yang, Sibei Endpoint boundedness of linear commutators on local Hardy spaces over metric measure spaces of homogeneous type. (English) Zbl 1462.42022 J. Geom. Anal. 31, No. 4, 4092-4164 (2021). MSC: 42B20 42B30 47B47 42C40 30L99 PDFBibTeX XMLCite \textit{X. Fu} et al., J. Geom. Anal. 31, No. 4, 4092--4164 (2021; Zbl 1462.42022) Full Text: DOI
Zhou, Xilin; He, Ziyi; Yang, Dachun Real-variable characterizations of Hardy-Lorentz spaces on spaces of homogeneous type with applications to real interpolation and boundedness of Calderón-Zygmund operators. (English) Zbl 1466.46033 Anal. Geom. Metr. Spaces 8, 182-260 (2020). MSC: 46E36 42B35 42B30 42B25 42B20 46E30 PDFBibTeX XMLCite \textit{X. Zhou} et al., Anal. Geom. Metr. Spaces 8, 182--260 (2020; Zbl 1466.46033) Full Text: DOI
Fu, Xing; Ma, Tao; Yang, Dachun Real-variable characterizations of Musielak-Orlicz Hardy spaces on spaces of homogeneous type. (English) Zbl 1437.42027 Ann. Acad. Sci. Fenn., Math. 45, No. 1, 343-410 (2020). MSC: 42B30 42B25 42B20 42B35 30L99 PDFBibTeX XMLCite \textit{X. Fu} et al., Ann. Acad. Sci. Fenn., Math. 45, No. 1, 343--410 (2020; Zbl 1437.42027) Full Text: DOI
Yang, Sibei; Chang, Der-Chen; Yang, Dachun; Yuan, Wen Weighted gradient estimates for elliptic problems with Neumann boundary conditions in Lipschitz and (semi-)convex domains. (English) Zbl 1436.35127 J. Differ. Equations 268, No. 6, 2510-2550 (2020). Reviewer: Dian K. Palagachev (Bari) MSC: 35J25 35J15 42B35 42B37 PDFBibTeX XMLCite \textit{S. Yang} et al., J. Differ. Equations 268, No. 6, 2510--2550 (2020; Zbl 1436.35127) Full Text: DOI
He, Ziyi; Han, Yongsheng; Li, Ji; Liu, Liguang; Yang, Dachun; Yuan, Wen A complete real-variable theory of Hardy spaces on spaces of homogeneous type. (English) Zbl 1427.42026 J. Fourier Anal. Appl. 25, No. 5, 2197-2267 (2019). Reviewer: Elijah Liflyand (Ramat-Gan) MSC: 42B30 42B25 42B20 30L99 30H10 PDFBibTeX XMLCite \textit{Z. He} et al., J. Fourier Anal. Appl. 25, No. 5, 2197--2267 (2019; Zbl 1427.42026) Full Text: DOI arXiv
Yang, Sibei; Yang, Dachun Atomic and maximal function characterizations of Musielak-Orlicz-Hardy spaces associated to non-negative self-adjoint operators on spaces of homogeneous type. (English) Zbl 1418.42035 Collect. Math. 70, No. 2, 197-246 (2019). MSC: 42B25 42B35 46E30 30L99 PDFBibTeX XMLCite \textit{S. Yang} and \textit{D. Yang}, Collect. Math. 70, No. 2, 197--246 (2019; Zbl 1418.42035) Full Text: DOI arXiv
Liu, Liguang; Yang, Dachun; Yuan, Wen Bilinear decompositions for products of Hardy and Lipschitz spaces on spaces of homogeneous type. (English) Zbl 1416.42032 Diss. Math. 533, 1-93 (2018). Reviewer: Koichi Saka (Akita) MSC: 42B35 42B20 42B30 42C40 47B47 30L99 PDFBibTeX XMLCite \textit{L. Liu} et al., Diss. Math. 533, 1--93 (2018; Zbl 1416.42032) Full Text: DOI
Yang, Dachun; Zhang, Junqiang Variable Hardy spaces associated with operators satisfying Davies-Gaffney estimates on metric measure spaces of homogeneous type. (English) Zbl 1395.42055 Ann. Acad. Sci. Fenn., Math. 43, No. 1, 47-87 (2018). Reviewer: Santiago Boza (Barcelona) MSC: 42B30 42B35 42B25 47A60 30L99 PDFBibTeX XMLCite \textit{D. Yang} and \textit{J. Zhang}, Ann. Acad. Sci. Fenn., Math. 43, No. 1, 47--87 (2018; Zbl 1395.42055) Full Text: DOI Link
Zhuo, Ciqiang; Sawano, Yoshihiro; Yang, Dachun Hardy spaces with variable exponents on RD-spaces and applications. (English) Zbl 1376.42033 Diss. Math. 520, 1-74 (2016). MSC: 42B35 42B30 42B25 42B20 47B06 30L99 PDFBibTeX XMLCite \textit{C. Zhuo} et al., Diss. Math. 520, 1--74 (2016; Zbl 1376.42033) Full Text: DOI
Yang, Dachun; Yang, Sibei Musielak-Orlicz-Hardy spaces associated with operators and their applications. (English) Zbl 1302.42033 J. Geom. Anal. 24, No. 1, 495-570 (2014). MSC: 42B35 42B30 42B25 42B20 46E30 47B38 47B06 35J10 PDFBibTeX XMLCite \textit{D. Yang} and \textit{S. Yang}, J. Geom. Anal. 24, No. 1, 495--570 (2014; Zbl 1302.42033) Full Text: DOI arXiv
Liu, Liguang; Yang, Dachun Pointwise multipliers for Campanato spaces on Gauss measure spaces. (English) Zbl 1293.42011 Nagoya Math. J. 214, 169-193 (2014). Reviewer: Lalit Kumar Vashisht (Delhi) MSC: 42B15 42B30 28C20 PDFBibTeX XMLCite \textit{L. Liu} and \textit{D. Yang}, Nagoya Math. J. 214, 169--193 (2014; Zbl 1293.42011) Full Text: DOI
Grafakos, Loukas; Liu, LiGuang; Yang, DaChun Maximal function characterizations of Hardy spaces on RD-spaces and their applications. (English) Zbl 1176.42017 Sci. China, Ser. A 51, No. 12, 2253-2284 (2008). MSC: 42B25 42B30 47B38 47A30 PDFBibTeX XMLCite \textit{L. Grafakos} et al., Sci. China, Ser. A 51, No. 12, 2253--2284 (2008; Zbl 1176.42017) Full Text: DOI