Lin, Xiaosheng; Yang, Dachun; Yang, Sibei; Yuan, Wen Maximal function characterizations of Hardy spaces associated with both non-negative self-adjoint operators satisfying Gaussian estimates and ball quasi-Banach function spaces. (English) Zbl 07815355 Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 2, 484-514 (2024). MSC: 42B25 42B30 35K08 42B35 35J30 PDFBibTeX XMLCite \textit{X. Lin} et al., Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 2, 484--514 (2024; Zbl 07815355) Full Text: DOI arXiv
Dai, Feng; Grafakos, Loukas; Pan, Zhulei; Yang, Dachun; Yuan, Wen; Zhang, Yangyang The Bourgain-Brezis-Mironescu formula on ball Banach function spaces. (English) Zbl 07802404 Math. Ann. 388, No. 2, 1691-1768 (2024). MSC: 46E35 26D10 42B25 26A33 PDFBibTeX XMLCite \textit{F. Dai} et al., Math. Ann. 388, No. 2, 1691--1768 (2024; Zbl 07802404) Full Text: DOI
Pan, Zhulei; Yang, Dachun; Yuan, Wen; Zhang, Yangyang Gagliardo representation of norms of ball quasi-Banach function spaces. (English) Zbl 07794582 J. Funct. Anal. 286, No. 2, Article ID 110205, 78 p. (2024). MSC: 46E35 26D10 42B25 26A33 35A23 PDFBibTeX XMLCite \textit{Z. Pan} et al., J. Funct. Anal. 286, No. 2, Article ID 110205, 78 p. (2024; Zbl 07794582) Full Text: DOI
Bonami, Aline; Jiao, Yong; Xie, Guangheng; Yang, Dachun; Zhou, Dejian Products and commutators of martingales in \(H_1\) and BMO. (English. French summary) Zbl 07780696 J. Math. Pures Appl. (9) 180, 188-229 (2023). MSC: 60G42 60G46 47B47 42B25 42B30 PDFBibTeX XMLCite \textit{A. Bonami} et al., J. Math. Pures Appl. (9) 180, 188--229 (2023; Zbl 07780696) Full Text: DOI arXiv
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
Zhu, Chenfeng; Yang, Dachun; Yuan, Wen Generalized Brezis-Seeger-Van Schaftingen-Yung formulae and their applications in ball Banach Sobolev spaces. (English) Zbl 07748708 Calc. Var. Partial Differ. Equ. 62, No. 8, Paper No. 234, 76 p. (2023). MSC: 46E35 26D10 42B25 26A33 35A23 PDFBibTeX XMLCite \textit{C. Zhu} et al., Calc. Var. Partial Differ. Equ. 62, No. 8, Paper No. 234, 76 p. (2023; Zbl 07748708) Full Text: DOI arXiv
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
Wang, Fan; Yang, Dachun; Yuan, Wen Riesz transform characterization of Hardy spaces associated with ball quasi-Banach function spaces. (English) Zbl 07739418 J. Fourier Anal. Appl. 29, No. 5, Paper No. 56, 49 p. (2023). Reviewer: Jian Tan (Nanjing) MSC: 42B30 42B35 42B20 44A15 47B06 PDFBibTeX XMLCite \textit{F. Wang} et al., J. Fourier Anal. Appl. 29, No. 5, Paper No. 56, 49 p. (2023; Zbl 07739418) Full Text: DOI arXiv
Yang, Sibei; Yang, Dachun Heat kernels and Hardy spaces on non-tangentially accessible domains with applications to global regularity of inhomogeneous Dirichlet problems. (English) Zbl 1522.35117 Trans. Am. Math. Soc. 376, No. 10, 7447-7493 (2023). Reviewer: Lutz Recke (Berlin) MSC: 35B45 35B65 35J25 35K08 35R05 47B06 42B30 42B35 PDFBibTeX XMLCite \textit{S. Yang} and \textit{D. Yang}, Trans. Am. Math. Soc. 376, No. 10, 7447--7493 (2023; Zbl 1522.35117) Full Text: DOI arXiv
Li, Chaoan; Yan, Xianjie; Yang, Dachun Anisotropic ball Campanato-type function spaces and their applications. (English) Zbl 1526.46018 Anal. Math. Phys. 13, No. 3, Paper No. 50, 71 p. (2023). Reviewer: Santiago Boza (Barcelona) MSC: 46E30 42B30 42B25 42B35 28C20 PDFBibTeX XMLCite \textit{C. Li} et al., Anal. Math. Phys. 13, No. 3, Paper No. 50, 71 p. (2023; Zbl 1526.46018) Full Text: DOI arXiv
Tao, Jin; Yang, Dachun; Yang, Dongyong A new vanishing Lipschitz-type subspace of BMO and compactness of bilinear commutators. (English) Zbl 1521.42021 Math. Ann. 386, No. 1-2, 495-531 (2023). Reviewer: Jingshi Xu (Guilin) MSC: 42B35 42B20 46E35 47B47 47A30 PDFBibTeX XMLCite \textit{J. Tao} et al., Math. Ann. 386, No. 1--2, 495--531 (2023; Zbl 1521.42021) Full Text: DOI
Tao, Jin; Yang, Dachun; Yuan, Wen; Zhang, Yangyang Compactness characterizations of commutators on ball Banach function spaces. (English) Zbl 07673632 Potential Anal. 58, No. 4, 645-679 (2023). MSC: 47B47 42B20 42B25 42B30 42B35 46E30 PDFBibTeX XMLCite \textit{J. Tao} et al., Potential Anal. 58, No. 4, 645--679 (2023; Zbl 07673632) Full Text: DOI arXiv
Zhang, Junqiang; Yang, Dachun; Yang, Sibei Kato square root problem for degenerate elliptic operators on bounded Lipschitz domains. (English) Zbl 1512.35319 J. Differ. Equations 353, 1-62 (2023). MSC: 35J70 35J25 PDFBibTeX XMLCite \textit{J. Zhang} et al., J. Differ. Equations 353, 1--62 (2023; Zbl 1512.35319) Full Text: DOI
Dai, Feng; Lin, Xiaosheng; Yang, Dachun; Yuan, Wen; Zhang, Yangyang Brezis-van Schaftingen-Yung formulae in ball Banach function spaces with applications to fractional Sobolev and Gagliardo-Nirenberg inequalities. (English) Zbl 1514.46025 Calc. Var. Partial Differ. Equ. 62, No. 2, Paper No. 56, 73 p. (2023). MSC: 46E35 26D10 42B25 26A33 35A23 PDFBibTeX XMLCite \textit{F. Dai} et al., Calc. Var. Partial Differ. Equ. 62, No. 2, Paper No. 56, 73 p. (2023; Zbl 1514.46025) Full Text: DOI arXiv
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
Cao, Jun; Liu, Yu; Yang, Dachun; Zhang, Chao Gaussian estimates for heat kernels of higher order Schrödinger operators with potentials in generalized Schechter classes. (English) Zbl 1521.35098 J. Lond. Math. Soc., II. Ser. 106, No. 3, 2136-2192 (2022). MSC: 35K08 35B45 35J10 35J30 47G40 PDFBibTeX XMLCite \textit{J. Cao} et al., J. Lond. Math. Soc., II. Ser. 106, No. 3, 2136--2192 (2022; Zbl 1521.35098) Full Text: DOI arXiv
Wu, Suqing; Yang, Dachun; Yuan, Wen Differentiability of logarithmic Besov functions in terms of capacities. (English) Zbl 1510.46022 Banach J. Math. Anal. 16, No. 4, Paper No. 71, 52 p. (2022); correction ibid. 17, No. 2, Paper No. 27, 1 p. (2023). MSC: 46E35 42B35 31B15 42B25 26B05 PDFBibTeX XMLCite \textit{S. Wu} et al., Banach J. Math. Anal. 16, No. 4, Paper No. 71, 52 p. (2022; Zbl 1510.46022) Full Text: DOI
Sun, Jingsong; Yang, Dachun; Yuan, Wen Molecular characterization of weak Hardy spaces associated with ball quasi-Banach function spaces on spaces of homogeneous type with its applications to Littlewood-Paley function characterizations. (English) Zbl 1504.42077 Forum Math. 34, No. 6, 1539-1589 (2022). Reviewer: Jian Tan (Nanjing) MSC: 42B30 42B25 42B35 46E30 30L99 PDFBibTeX XMLCite \textit{J. Sun} et al., Forum Math. 34, No. 6, 1539--1589 (2022; Zbl 1504.42077) Full Text: DOI
Liu, Xiong; Yang, Dachun; Yang, Sibei Variable Hardy spaces associated with Schrödinger operators on strongly Lipschitz domains with their applications to regularity for inhomogeneous Dirichlet problems. (English) Zbl 1502.42019 Rend. Circ. Mat. Palermo (2) 71, No. 3, 925-957 (2022). Reviewer: Ferit Gürbüz (Hakkari) MSC: 42B37 42B35 42B30 35J10 35J25 42B25 PDFBibTeX XMLCite \textit{X. Liu} et al., Rend. Circ. Mat. Palermo (2) 71, No. 3, 925--957 (2022; Zbl 1502.42019) Full Text: DOI
Alvarado, Ryan; Yang, Dachun; Yuan, Wen A measure characterization of embedding and extension domains for Sobolev, Triebel-Lizorkin, and Besov spaces on spaces of homogeneous type. (English) Zbl 1505.46035 J. Funct. Anal. 283, No. 12, Article ID 109687, 71 p. (2022). Reviewer: Hans Triebel (Jena) MSC: 46E36 46E35 43A85 42B35 30L99 PDFBibTeX XMLCite \textit{R. Alvarado} et al., J. Funct. Anal. 283, No. 12, Article ID 109687, 71 p. (2022; Zbl 1505.46035) Full Text: DOI arXiv
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
Yang, Sibei; Yang, Dachun; Yuan, Wen Global gradient estimates for Dirichlet problems of elliptic operators with a BMO antisymmetric part. (English) Zbl 1498.35217 Adv. Nonlinear Anal. 11, 1496-1530 (2022). MSC: 35J25 35J15 35B65 PDFBibTeX XMLCite \textit{S. Yang} et al., Adv. Nonlinear Anal. 11, 1496--1530 (2022; Zbl 1498.35217) 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
Li, Zi Wei; Yang, Da Chun; Yuan, Wen Pointwise characterizations of Besov and Triebel-Lizorkin spaces with generalized smoothness and their applications. (English) Zbl 1496.46033 Acta Math. Sin., Engl. Ser. 38, No. 4, 623-661 (2022). Reviewer: Hans Triebel (Jena) MSC: 46E35 46E36 42B35 30L99 PDFBibTeX XMLCite \textit{Z. W. Li} et al., Acta Math. Sin., Engl. Ser. 38, No. 4, 623--661 (2022; Zbl 1496.46033) Full Text: DOI
Yang, Sibei; Yang, Dachun; Ma, Wenxian Global regularity estimates for Neumann problems of elliptic operators with coefficients having a BMO anti-symmetric part in NTA domains. (English) Zbl 1489.35054 Commun. Pure Appl. Anal. 21, No. 3, 959-998 (2022). Reviewer: Wen Yuan (Beijing) MSC: 35J25 35B65 PDFBibTeX XMLCite \textit{S. Yang} et al., Commun. Pure Appl. Anal. 21, No. 3, 959--998 (2022; Zbl 1489.35054) Full Text: DOI
Zhang, Junqiang; Yang, Dachun; Yang, Sibei Weighted \(W^{1, p(\cdot)}\)-regularity for degenerate elliptic equations in Reifenberg domains. (English) Zbl 1480.35245 Adv. Nonlinear Anal. 11, 535-579 (2022). MSC: 35J70 35J25 35B65 PDFBibTeX XMLCite \textit{J. Zhang} et al., Adv. Nonlinear Anal. 11, 535--579 (2022; Zbl 1480.35245) Full Text: DOI
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
Yan, Xianjie; Yang, Dachun; Yuan, Wen Intrinsic square function characterizations of several Hardy-type spaces – a survey. (English) Zbl 1499.42105 Anal. Theory Appl. 37, No. 3, 426-464 (2021). MSC: 42B25 42B30 42B35 46E30 PDFBibTeX XMLCite \textit{X. Yan} et al., Anal. Theory Appl. 37, No. 3, 426--464 (2021; Zbl 1499.42105) Full Text: DOI
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
Zhang, Yangyang; Yang, Dachun; Yuan, Wen; Wang, Songbai Weak Hardy-type spaces associated with ball quasi-Banach function spaces. I: Decompositions with applications to boundedness of Calderón-Zygmund operators. (English) Zbl 1476.42017 Sci. China, Math. 64, No. 9, 2007-2064 (2021). MSC: 42B30 42B25 42B20 42B35 46E30 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Sci. China, Math. 64, No. 9, 2007--2064 (2021; Zbl 1476.42017) Full Text: DOI arXiv
Tao, Jin; Xue, Qingying; Yang, Dachun; Yuan, Wen XMO and weighted compact bilinear commutators. (English) Zbl 1470.42025 J. Fourier Anal. Appl. 27, No. 3, Paper No. 60, 34 p. (2021). MSC: 42B20 42B35 46E35 47B47 47A30 PDFBibTeX XMLCite \textit{J. Tao} et al., J. Fourier Anal. Appl. 27, No. 3, Paper No. 60, 34 p. (2021; Zbl 1470.42025) Full Text: DOI arXiv
Yang, Sibei; Yang, Dachun; Yuan, Wen Weighted global regularity estimates for elliptic problems with Robin boundary conditions in Lipschitz domains. (English) Zbl 1468.35052 J. Differ. Equations 296, 512-572 (2021). MSC: 35J25 35A01 35B65 PDFBibTeX XMLCite \textit{S. Yang} et al., J. Differ. Equations 296, 512--572 (2021; Zbl 1468.35052) 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
Wang, Songbai; Yang, Dachun; Yuan, Wen; Zhang, Yangyang Weak Hardy-type spaces associated with ball quasi-Banach function spaces. II: Littlewood-Paley characterizations and real interpolation. (English) Zbl 1460.42033 J. Geom. Anal. 31, No. 1, 631-696 (2021). MSC: 42B30 42B25 42B20 42B35 46E30 30H10 PDFBibTeX XMLCite \textit{S. Wang} et al., J. Geom. Anal. 31, No. 1, 631--696 (2021; Zbl 1460.42033) Full Text: DOI arXiv
Yang, Sibei; Sickel, Winfried; Yang, Dachun; Yuan, Wen Regularity for Robin boundary problems of Laplace equations and Hardy spaces on \(C^1\) and (semi-)convex domains. (English) Zbl 1460.35089 J. Differ. Equations 279, 198-244 (2021). MSC: 35J05 35J25 35B65 46B06 PDFBibTeX XMLCite \textit{S. Yang} et al., J. Differ. Equations 279, 198--244 (2021; Zbl 1460.35089) Full Text: DOI
Zhuo, Ciqiang; Yang, Dachun Variable Besov spaces associated with heat kernels. (English) Zbl 1467.46040 Constr. Approx. 52, No. 3, 479-523 (2020). MSC: 46E36 42B35 42B25 PDFBibTeX XMLCite \textit{C. Zhuo} and \textit{D. Yang}, Constr. Approx. 52, No. 3, 479--523 (2020; Zbl 1467.46040) 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
Yan, Xianjie; Yang, Dachun; Yuan, Wen Intrinsic square function characterizations of Hardy spaces associated with ball quasi-Banach function spaces. (English) Zbl 1455.42013 Front. Math. China 15, No. 4, 769-806 (2020). Reviewer: Ioannis Parissis (Bilbao) MSC: 42B25 42B30 42B35 46E30 PDFBibTeX XMLCite \textit{X. Yan} et al., Front. Math. China 15, No. 4, 769--806 (2020; Zbl 1455.42013) Full Text: DOI
Yuan, Wen; Sickel, Winfried; Yang, Dachun The Haar system in Besov-type spaces. (English) Zbl 1443.42020 Stud. Math. 253, No. 2, 129-162 (2020). MSC: 42C15 42C40 42C10 46E35 PDFBibTeX XMLCite \textit{W. Yuan} et al., Stud. Math. 253, No. 2, 129--162 (2020; Zbl 1443.42020) Full Text: DOI arXiv
Chang, Der-Chen; Wang, Songbai; Yang, Dachun; Zhang, Yangyang Littlewood-Paley characterizations of Hardy-type spaces associated with ball quasi-Banach function spaces. In memory of Professor Carlos Berenstein. (English) Zbl 1439.42026 Complex Anal. Oper. Theory 14, No. 3, Paper No. 40, 33 p. (2020). MSC: 42B25 42B30 42B35 42B20 46E30 PDFBibTeX XMLCite \textit{D.-C. Chang} et al., Complex Anal. Oper. Theory 14, No. 3, Paper No. 40, 33 p. (2020; Zbl 1439.42026) Full Text: DOI arXiv
Yang, Sibei; Yang, Dachun \( L^p\) Neumann problem for some Schrödinger equations in (semi-)convex domains. (English) Zbl 1440.35083 Commun. Contemp. Math. 22, No. 2, Article ID 1950007, 20 p. (2020). MSC: 35J25 35J10 PDFBibTeX XMLCite \textit{S. Yang} and \textit{D. Yang}, Commun. Contemp. Math. 22, No. 2, Article ID 1950007, 20 p. (2020; Zbl 1440.35083) Full Text: DOI
Huang, Long; Liu, Jun; Yang, Dachun; Yuan, Wen Real-variable characterizations of new anisotropic mixed-norm Hardy spaces. (English) Zbl 1437.42033 Commun. Pure Appl. Anal. 19, No. 6, 3033-3082 (2020). MSC: 42B35 42B30 46E30 42B25 42B20 PDFBibTeX XMLCite \textit{L. Huang} et al., Commun. Pure Appl. Anal. 19, No. 6, 3033--3082 (2020; Zbl 1437.42033) Full Text: DOI arXiv
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
Wang, Fan; Yang, Dachun; Yang, Sibei Applications of Hardy spaces associated with ball quasi-Banach function spaces. (English) Zbl 1431.42040 Result. Math. 75, No. 1, Paper No. 26, 58 p. (2020). MSC: 42B30 42B35 42B25 42B20 47G30 PDFBibTeX XMLCite \textit{F. Wang} et al., Result. Math. 75, No. 1, Paper No. 26, 58 p. (2020; Zbl 1431.42040) Full Text: DOI arXiv
Zhang, Junqiang; Yang, Dachun Quantitative boundedness of Littlewood-Paley functions on weighted Lebesgue spaces in the Schrödinger setting. (English) Zbl 1431.42037 J. Math. Anal. Appl. 484, No. 2, Article ID 123731, 26 p. (2020). MSC: 42B25 44A15 42B35 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{D. Yang}, J. Math. Anal. Appl. 484, No. 2, Article ID 123731, 26 p. (2020; Zbl 1431.42037) Full Text: DOI arXiv
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
Liu, Jun; Yang, Dachun; Yuan, Wen Littlewood-Paley characterizations of weighted anisotropic Triebel-Lizorkin spaces via averages on balls. I. (English) Zbl 1446.46021 Z. Anal. Anwend. 38, No. 4, 397-418 (2019). Reviewer: Hans Triebel (Jena) MSC: 46E35 42B25 42B35 42C40 PDFBibTeX XMLCite \textit{J. Liu} et al., Z. Anal. Anwend. 38, No. 4, 397--418 (2019; Zbl 1446.46021) 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
Huang, Long; Liu, Jun; Yang, Dachun; Yuan, Wen Atomic and Littlewood-Paley characterizations of anisotropic mixed-norm Hardy spaces and their applications. (English) Zbl 1420.42018 J. Geom. Anal. 29, No. 3, 1991-2067 (2019). Reviewer: Koichi Saka (Akita) MSC: 42B35 42B20 42B30 42B25 30L99 PDFBibTeX XMLCite \textit{L. Huang} et al., J. Geom. Anal. 29, No. 3, 1991--2067 (2019; Zbl 1420.42018) 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
Zhuo, Ciqiang; Yang, Dachun Variable weak Hardy spaces \(WH_{L}^{p(\cdot)}(\mathbb{R}^{n})\) associated with operators satisfying Davies-Gaffney estimates. (English) Zbl 1417.42025 Forum Math. 31, No. 3, 579-605 (2019). MSC: 42B30 42B35 42B25 PDFBibTeX XMLCite \textit{C. Zhuo} and \textit{D. Yang}, Forum Math. 31, No. 3, 579--605 (2019; Zbl 1417.42025) Full Text: DOI arXiv
Liu, Jun; Weisz, Ferenc; Yang, Dachun; Yuan, Wen Littlewood-Paley and finite atomic characterizations of anisotropic variable Hardy-Lorentz spaces and their applications. (English) Zbl 1415.42012 J. Fourier Anal. Appl. 25, No. 3, 874-922 (2019). MSC: 42B25 42B08 46E30 42B35 PDFBibTeX XMLCite \textit{J. Liu} et al., J. Fourier Anal. Appl. 25, No. 3, 874--922 (2019; Zbl 1415.42012) Full Text: DOI
Liu, Jun; Haroske, Dorothee D.; Yang, Dachun New molecular characterizations of anisotropic Musielak-Orlicz Hardy spaces and their applications. (English) Zbl 1430.42026 J. Math. Anal. Appl. 475, No. 2, 1341-1366 (2019). Reviewer: Santiago Boza (Barcelona) MSC: 42B30 42B25 46E30 PDFBibTeX XMLCite \textit{J. Liu} et al., J. Math. Anal. Appl. 475, No. 2, 1341--1366 (2019; Zbl 1430.42026) Full Text: DOI
He, Ziyi; Liu, Liguang; Yang, Dachun; Yuan, Wen New Calderón reproducing formulae with exponential decay on spaces of homogeneous type. (English) Zbl 1409.42027 Sci. China, Math. 62, No. 2, 283-350 (2019). Reviewer: Koichi Saka (Akita) MSC: 42C40 42B20 42B25 30L99 PDFBibTeX XMLCite \textit{Z. He} et al., Sci. China, Math. 62, No. 2, 283--350 (2019; Zbl 1409.42027) Full Text: DOI arXiv
Liu, Liguang; Wu, Suqing; Yang, Dachun; Yuan, Wen New characterizations of Morrey spaces and their preduals with applications to fractional Laplace equations. (English) Zbl 1523.46027 J. Differ. Equations 266, No. 8, 5118-5167 (2019). MSC: 46E35 47G40 42B25 42B20 42B35 31B15 PDFBibTeX XMLCite \textit{L. Liu} et al., J. Differ. Equations 266, No. 8, 5118--5167 (2019; Zbl 1523.46027) Full Text: DOI
Huang, Long; Liu, Jun; Yang, Dachun; Yuan, Wen Dual spaces of anisotropic mixed-norm Hardy spaces. (English) Zbl 1412.42060 Proc. Am. Math. Soc. 147, No. 3, 1201-1215 (2019). Reviewer: Javier Soria (Barcelona) MSC: 42B35 42B30 46E30 PDFBibTeX XMLCite \textit{L. Huang} et al., Proc. Am. Math. Soc. 147, No. 3, 1201--1215 (2019; Zbl 1412.42060) Full Text: DOI arXiv
Yang, Dachun; Zhang, Junqiang; Zhuo, Ciqiang Variable Hardy spaces associated with operators satisfying Davies-Gaffney estimates. (English) Zbl 1421.42011 Proc. Edinb. Math. Soc., II. Ser. 61, No. 3, 759-810 (2018). Reviewer: Maria Alessandra Ragusa (Catania) MSC: 42B30 42B35 42B25 35J15 47B06 PDFBibTeX XMLCite \textit{D. Yang} et al., Proc. Edinb. Math. Soc., II. Ser. 61, No. 3, 759--810 (2018; Zbl 1421.42011) 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
Zhuo, Ciqiang; Yang, Dachun; Yuan, Wen Interpolation between \(H^{p(\cdot )}({\mathbb {R}}^n)\) and \(L^\infty ({\mathbb {R}}^n)\): real method. (English) Zbl 1446.46008 J. Geom. Anal. 28, No. 3, 2288-2311 (2018). MSC: 46B70 46E30 42B30 42B35 PDFBibTeX XMLCite \textit{C. Zhuo} et al., J. Geom. Anal. 28, No. 3, 2288--2311 (2018; Zbl 1446.46008) Full Text: DOI arXiv
Liu, Jun; Weisz, Ferenc; Yang, Dachun; Yuan, Wen Variable anisotropic Hardy spaces and their applications. (English) Zbl 1401.42024 Taiwanese J. Math. 22, No. 5, 1173-1216 (2018). MSC: 42B35 42B30 42B25 46E30 PDFBibTeX XMLCite \textit{J. Liu} et al., Taiwanese J. Math. 22, No. 5, 1173--1216 (2018; Zbl 1401.42024) Full Text: DOI Euclid
Liu, Jun; Yang, Dachun; Yuan, Wen Littlewood-Paley characterizations of anisotropic Hardy-Lorentz spaces. (English) Zbl 1399.42061 Acta Math. Sci., Ser. B, Engl. Ed. 38, No. 1, 1-33 (2018). MSC: 42B25 42B30 46E30 30L99 PDFBibTeX XMLCite \textit{J. Liu} et al., Acta Math. Sci., Ser. B, Engl. Ed. 38, No. 1, 1--33 (2018; Zbl 1399.42061) Full Text: DOI arXiv
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
Jiang, Renjin; Xiao, Jie; Yang, Dachun Relative \(\infty\)-capacity and its affinization. (English) Zbl 1380.35052 Adv. Calc. Var. 11, No. 1, 95-110 (2018). MSC: 35D40 47A75 35J70 49L25 PDFBibTeX XMLCite \textit{R. Jiang} et al., Adv. Calc. Var. 11, No. 1, 95--110 (2018; Zbl 1380.35052) Full Text: DOI
Yang, Sibei; Yang, Dachun; Yuan, Wen The \(L^{p}\) Robin problem for Laplace equations in Lipschitz and (semi-)convex domains. (English) Zbl 1379.35070 J. Differ. Equations 264, No. 2, 1348-1376 (2018). Reviewer: Maria Alessandra Ragusa (Catania) MSC: 35J05 35J25 PDFBibTeX XMLCite \textit{S. Yang} et al., J. Differ. Equations 264, No. 2, 1348--1376 (2018; Zbl 1379.35070) Full Text: DOI
Fu, Xing; Yang, Dachun Wavelet characterizations of the atomic Hardy space \(H^{1}\) on spaces of homogeneous type. (English) Zbl 1381.42032 Appl. Comput. Harmon. Anal. 44, No. 1, 1-37 (2018). Reviewer: Yasuo Komori-Furuya (Kanagawa) MSC: 42B30 42C40 30L99 PDFBibTeX XMLCite \textit{X. Fu} and \textit{D. Yang}, Appl. Comput. Harmon. Anal. 44, No. 1, 1--37 (2018; Zbl 1381.42032) Full Text: DOI arXiv
Fan, XingYa; He, JianXun; Li, BaoDe; Yang, DaChun Real-variable characterizations of anisotropic product Musielak-Orlicz Hardy spaces. (English) Zbl 1395.42058 Sci. China, Math. 60, No. 11, 2093-2154 (2017). MSC: 42B35 46E30 42B30 30L99 PDFBibTeX XMLCite \textit{X. Fan} et al., Sci. China, Math. 60, No. 11, 2093--2154 (2017; Zbl 1395.42058) Full Text: DOI
Yang, Dachun; Yuan, Wen Pointwise characterizations of Besov and Triebel-Lizorkin spaces in terms of averages on balls. (English) Zbl 1390.46038 Trans. Am. Math. Soc. 369, No. 11, 7631-7655 (2017). Reviewer: Winfried Sickel (Jena) MSC: 46E35 42B25 42B35 PDFBibTeX XMLCite \textit{D. Yang} and \textit{W. Yuan}, Trans. Am. Math. Soc. 369, No. 11, 7631--7655 (2017; Zbl 1390.46038) Full Text: DOI
Fu, Xing; Yang, Dachun; Liang, Yiyu Products of functions in \(\mathrm {BMO}({\mathcal X})\) and \(H^1_{\mathrm{at}}({\mathcal X})\) via wavelets over spaces of homogeneous type. (English) Zbl 1426.42018 J. Fourier Anal. Appl. 23, No. 4, 919-990 (2017). MSC: 42B30 42B35 47A07 42C40 30L99 PDFBibTeX XMLCite \textit{X. Fu} et al., J. Fourier Anal. Appl. 23, No. 4, 919--990 (2017; Zbl 1426.42018) Full Text: DOI arXiv
Liu, Jun; Yang, Dachun; Yuan, Wen Anisotropic variable Hardy-Lorentz spaces and their real interpolation. (English) Zbl 1373.42028 J. Math. Anal. Appl. 456, No. 1, 356-393 (2017). MSC: 42B35 46E30 PDFBibTeX XMLCite \textit{J. Liu} et al., J. Math. Anal. Appl. 456, No. 1, 356--393 (2017; Zbl 1373.42028) Full Text: DOI arXiv
Yang, Dachun; Yuan, Wen; Zhou, Yuan Sharp boundedness of quasiconformal composition operators on Triebel-Lizorkin type spaces. (English) Zbl 1371.30026 J. Geom. Anal. 27, No. 2, 1548-1588 (2017). MSC: 30C65 42B35 46E35 PDFBibTeX XMLCite \textit{D. Yang} et al., J. Geom. Anal. 27, No. 2, 1548--1588 (2017; Zbl 1371.30026) Full Text: DOI
Lin, Haibo; Wu, Suqing; Yang, Dachun Boundedness of certain commutators over non-homogeneous metric measure spaces. (English) Zbl 1367.47043 Anal. Math. Phys. 7, No. 2, 187-218 (2017). MSC: 47B47 42B20 42B35 30L99 PDFBibTeX XMLCite \textit{H. Lin} et al., Anal. Math. Phys. 7, No. 2, 187--218 (2017; Zbl 1367.47043) Full Text: DOI
Chang, Der-Chen; Liu, Jun; Yang, Dachun; Yuan, Wen Littlewood-Paley characterizations of Hajłasz-Sobolev and Triebel-Lizorkin spaces via averages on balls. (English) Zbl 1369.46024 Potential Anal. 46, No. 2, 227-259 (2017). Reviewer: Hans Triebel (Jena) MSC: 46E35 42B35 42B25 43A85 30L99 PDFBibTeX XMLCite \textit{D.-C. Chang} et al., Potential Anal. 46, No. 2, 227--259 (2017; Zbl 1369.46024) Full Text: DOI arXiv
Li, Bao De; Fan, Xing Ya; Fu, Zun Wei; Yang, Da Chun Molecular characterization of anisotropic Musielak-Orlicz Hardy spaces and their applications. (English) Zbl 1359.42010 Acta Math. Sin., Engl. Ser. 32, No. 11, 1391-1414 (2016). MSC: 42B30 42B20 42B35 46E30 PDFBibTeX XMLCite \textit{B. De Li} et al., Acta Math. Sin., Engl. Ser. 32, No. 11, 1391--1414 (2016; Zbl 1359.42010) Full Text: DOI
Chen, Xiaming; Jiang, Renjin; Yang, Dachun Hardy and Hardy-Sobolev spaces on strongly Lipschitz domains and some applications. (English) Zbl 1354.42039 Anal. Geom. Metr. Spaces 4, 336-362 (2016). MSC: 42B30 42B37 46E35 42B25 35F15 PDFBibTeX XMLCite \textit{X. Chen} et al., Anal. Geom. Metr. Spaces 4, 336--362 (2016; Zbl 1354.42039) Full Text: DOI
Zhuo, Ciqiang; Yang, Dachun; Liang, Yiyu Intrinsic square function characterizations of Hardy spaces with variable exponents. (English) Zbl 1356.42013 Bull. Malays. Math. Sci. Soc. (2) 39, No. 4, 1541-1577 (2016). MSC: 42B30 42B35 42B25 46E30 PDFBibTeX XMLCite \textit{C. Zhuo} et al., Bull. Malays. Math. Sci. Soc. (2) 39, No. 4, 1541--1577 (2016; Zbl 1356.42013) Full Text: DOI arXiv
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
Liu, Jun; Yang, DaChun; Yuan, Wen Anisotropic Hardy-Lorentz spaces and their applications. (English) Zbl 1352.42028 Sci. China, Math. 59, No. 9, 1669-1720 (2016). MSC: 42B35 42B30 42B25 42B20 46E30 PDFBibTeX XMLCite \textit{J. Liu} et al., Sci. China, Math. 59, No. 9, 1669--1720 (2016; Zbl 1352.42028) Full Text: DOI arXiv
Cao, Jun; Chang, Der-Chen; Fu, Zunwei; Yang, Dachun Real interpolation of weighted tent spaces. (English) Zbl 1362.46023 Appl. Anal. 95, No. 11, 2415-2443 (2016). MSC: 46B70 42B35 42B30 46E30 PDFBibTeX XMLCite \textit{J. Cao} et al., Appl. Anal. 95, No. 11, 2415--2443 (2016; Zbl 1362.46023) Full Text: DOI
Yang, Dachun; Yang, Sibei Maximal function characterizations of Musielak-Orlicz-Hardy spaces associated to non-negative self-adjoint operators satisfying Gaussian estimates. (English) Zbl 1351.42026 Commun. Pure Appl. Anal. 15, No. 6, 2135-2160 (2016). MSC: 42B35 42B25 42B30 46E30 PDFBibTeX XMLCite \textit{D. Yang} and \textit{S. Yang}, Commun. Pure Appl. Anal. 15, No. 6, 2135--2160 (2016; Zbl 1351.42026) Full Text: DOI arXiv
Yan, Xianjie; Yang, Dachun; Yuan, Wen; Zhuo, Ciqiang Variable weak Hardy spaces and their applications. (English) Zbl 1440.42100 J. Funct. Anal. 271, No. 10, 2822-2887 (2016). MSC: 42B30 42B25 42B20 42B35 46E30 PDFBibTeX XMLCite \textit{X. Yan} et al., J. Funct. Anal. 271, No. 10, 2822--2887 (2016; Zbl 1440.42100) Full Text: DOI arXiv
Jiang, Renjin; Xiao, Jie; Yang, Dachun Towards spaces of harmonic functions with traces in square Campanato spaces and their scaling invariants. (English) Zbl 1366.46022 Anal. Appl., Singap. 14, No. 5, 679-703 (2016). Reviewer: Raymond Johnson (Columbia) MSC: 46E35 31B05 42B37 35J05 35K05 35Q30 PDFBibTeX XMLCite \textit{R. Jiang} et al., Anal. Appl., Singap. 14, No. 5, 679--703 (2016; Zbl 1366.46022) Full Text: DOI arXiv
Zhuo, Ciqiang; Yang, Dachun Maximal function characterizations of variable Hardy spaces associated with non-negative self-adjoint operators satisfying Gaussian estimates. (English) Zbl 1341.42035 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 141, 16-42 (2016). MSC: 42B30 42B35 42B25 35K08 PDFBibTeX XMLCite \textit{C. Zhuo} and \textit{D. Yang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 141, 16--42 (2016; Zbl 1341.42035) Full Text: DOI arXiv
Liang, Yiyu; Yang, Dachun; Jiang, Renjin Weak Musielak-Orlicz Hardy spaces and applications. (English) Zbl 1338.42023 Math. Nachr. 289, No. 5-6, 634-677 (2016). MSC: 42B30 42B35 42B25 42B20 PDFBibTeX XMLCite \textit{Y. Liang} et al., Math. Nachr. 289, No. 5--6, 634--677 (2016; Zbl 1338.42023) Full Text: DOI
Liu, Liguang; Yang, Dachun; Yuan, Wen Besov-type and Triebel-Lizorkin-type spaces associated with heat kernels. (English) Zbl 1359.46034 Collect. Math. 67, No. 2, 247-310 (2016). MSC: 46E35 42B35 42B25 PDFBibTeX XMLCite \textit{L. Liu} et al., Collect. Math. 67, No. 2, 247--310 (2016; Zbl 1359.46034) Full Text: DOI arXiv
Guo, Chang-Yu; Xiang, Chang-lin; Yang, Dachun \(L^\infty\)-variational problems associated to measurable Finsler structures. (English) Zbl 1329.49004 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 132, 126-140 (2016). MSC: 49J10 31C45 35J62 PDFBibTeX XMLCite \textit{C.-Y. Guo} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 132, 126--140 (2016; Zbl 1329.49004) Full Text: DOI arXiv
Jiang, Renjin; Xiao, Jie; Yang, Dachun; Zhai, Zhichun Regularity and capacity for the fractional dissipative operator. (English) Zbl 1333.35324 J. Differ. Equations 259, No. 8, 3495-3519 (2015). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35R11 35B44 35B65 35K05 31C15 PDFBibTeX XMLCite \textit{R. Jiang} et al., J. Differ. Equations 259, No. 8, 3495--3519 (2015; Zbl 1333.35324) Full Text: DOI arXiv
Shanmugalingam, Nageswari; Yang, Dachun; Yuan, Wen Newton-Besov spaces and Newton-Triebel-Lizorkin spaces on metric measure spaces. (English) Zbl 1318.42030 Positivity 19, No. 2, 177-220 (2015). MSC: 42B35 46E35 30L99 PDFBibTeX XMLCite \textit{N. Shanmugalingam} et al., Positivity 19, No. 2, 177--220 (2015; Zbl 1318.42030) Full Text: DOI
Yuan, Wen; Lu, Yufeng; Yang, Dachun Fractional Hajłasz-Morrey-Sobolev spaces on quasi-metric measure spaces. (English) Zbl 1342.46039 Stud. Math. 226, No. 2, 95-122 (2015). MSC: 46E35 42B25 42B35 30L99 PDFBibTeX XMLCite \textit{W. Yuan} et al., Stud. Math. 226, No. 2, 95--122 (2015; Zbl 1342.46039) Full Text: DOI
Yang, Dachun; Zhuo, Ciqiang; Yuan, Wen Triebel-Lizorkin type spaces with variable exponents. (English) Zbl 1339.46040 Banach J. Math. Anal. 9, No. 4, 146-202 (2015). MSC: 46E35 42B25 42B35 PDFBibTeX XMLCite \textit{D. Yang} et al., Banach J. Math. Anal. 9, No. 4, 146--202 (2015; Zbl 1339.46040) Full Text: DOI arXiv Euclid
Liang, Yiyu; Yang, Dachun Intrinsic square function characterizations of Musielak-Orlicz Hardy spaces. (English) Zbl 1318.42027 Trans. Am. Math. Soc. 367, No. 5, 3225-3256 (2015). Reviewer: Javier Soria (Barcelona) MSC: 42B30 42B35 42B25 46E30 PDFBibTeX XMLCite \textit{Y. Liang} and \textit{D. Yang}, Trans. Am. Math. Soc. 367, No. 5, 3225--3256 (2015; Zbl 1318.42027) Full Text: DOI
Fu, Xing; Lin, HaiBo; Yang, DaChun; Yang, DongYong Hardy spaces \(H^p\) over non-homogeneous metric measure spaces and their applications. (English) Zbl 1311.42054 Sci. China, Math. 58, No. 2, 309-388 (2015). MSC: 42B30 42B35 42B20 30L99 PDFBibTeX XMLCite \textit{X. Fu} et al., Sci. China, Math. 58, No. 2, 309--388 (2015; Zbl 1311.42054) Full Text: DOI arXiv
Fu, Xing; Yang, Dachun; Yang, Dongyong The molecular characterization of the Hardy space \(H^1\) on non-homogeneous metric measure spaces and its application. (English) Zbl 1312.42027 J. Math. Anal. Appl. 410, No. 2, 1028-1042 (2014). MSC: 42B30 42B35 42B20 PDFBibTeX XMLCite \textit{X. Fu} et al., J. Math. Anal. Appl. 410, No. 2, 1028--1042 (2014; Zbl 1312.42027) Full Text: DOI
Lin, Hai-Bo; Yang, Da-Chun Endpoint estimates for multilinear fractional integrals with non-doubling measures. (English) Zbl 1304.42037 Acta Math. Appl. Sin., Engl. Ser. 30, No. 3, 755-764 (2014). MSC: 42B20 42B35 42B25 47B06 47B38 PDFBibTeX XMLCite \textit{H.-B. Lin} and \textit{D.-C. Yang}, Acta Math. Appl. Sin., Engl. Ser. 30, No. 3, 755--764 (2014; Zbl 1304.42037) 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
Li, Baode; Bownik, Marcin; Yang, Dachun Littlewood-Paley characterization and duality of weighted anisotropic product Hardy spaces. (English) Zbl 1301.42040 J. Funct. Anal. 266, No. 5, 2611-2661 (2014). Reviewer: Mikko Kemppainen (Helsinki) MSC: 42B30 42B25 42B35 46F05 PDFBibTeX XMLCite \textit{B. Li} et al., J. Funct. Anal. 266, No. 5, 2611--2661 (2014; Zbl 1301.42040) Full Text: DOI
Jiang, Renjin; Koskela, Pekka; Yang, Dachun Isoperimetric inequality via Lipschitz regularity of Cheeger-harmonic functions. (English) Zbl 1288.35018 J. Math. Pures Appl. (9) 101, No. 5, 583-598 (2014). MSC: 35A23 35B45 PDFBibTeX XMLCite \textit{R. Jiang} et al., J. Math. Pures Appl. (9) 101, No. 5, 583--598 (2014; Zbl 1288.35018) Full Text: DOI
Yang, Dachun; Yuan, Wen; Zhuo, Ciqiang Musielak-Orlicz Besov-type and Triebel-Lizorkin-type spaces. (English) Zbl 1284.42076 Rev. Mat. Complut. 27, No. 1, 93-157 (2014). Reviewer: Koichi Saka (Akita) MSC: 42B35 46E30 42B15 46E35 47G30 PDFBibTeX XMLCite \textit{D. Yang} et al., Rev. Mat. Complut. 27, No. 1, 93--157 (2014; Zbl 1284.42076) Full Text: DOI