Sato, Shuichi Sobolev spaces with non-isotropic dilations and square functions of Marcinkiewicz type. (English) Zbl 1523.46029 Stud. Math. 267, No. 3, 295-320 (2022). Reviewer: Ramesh Manna (Jatni) MSC: 46E35 42B25 PDFBibTeX XMLCite \textit{S. Sato}, Stud. Math. 267, No. 3, 295--320 (2022; Zbl 1523.46029) Full Text: DOI arXiv
Fan, Dashan; Zhao, Fayou Littlewood-Paley functions and Triebel-Lizorkin spaces, Besov spaces. (English) Zbl 1499.46068 Anal. Theory Appl. 37, No. 3, 267-288 (2021). MSC: 46E35 42B25 42B35 PDFBibTeX XMLCite \textit{D. Fan} and \textit{F. Zhao}, Anal. Theory Appl. 37, No. 3, 267--288 (2021; Zbl 1499.46068) Full Text: DOI
Xie, Guangheng; Yang, Dachun; Yuan, Wen Pointwise characterizations of even order Sobolev spaces via derivatives of ball averages. (English) Zbl 1435.46028 Can. Math. Bull. 62, No. 3, 681-699 (2019). Reviewer: Maria Alessandra Ragusa (Catania) MSC: 46E35 42B10 42B25 42B35 PDFBibTeX XMLCite \textit{G. Xie} et al., Can. Math. Bull. 62, No. 3, 681--699 (2019; Zbl 1435.46028) Full Text: DOI
Sato, Shuichi Weak type estimates for functions of Marcinkiewicz type with fractional integrals of mixed homogeneity. (English) Zbl 1426.42014 Math. Scand. 125, No. 1, 135-162 (2019). Reviewer: Oscar Blasco (Valencia) MSC: 42B20 46E30 42B30 PDFBibTeX XMLCite \textit{S. Sato}, Math. Scand. 125, No. 1, 135--162 (2019; Zbl 1426.42014) Full Text: DOI arXiv
Chen, Jiecheng; Fan, Dashan; Zhao, Fayou Littlewood-Paley functions and Sobolev spaces. (English) Zbl 1441.46024 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 184, 273-297 (2019). Reviewer: Petr Gurka (Praha) MSC: 46E35 42B25 42B35 PDFBibTeX XMLCite \textit{J. Chen} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 184, 273--297 (2019; Zbl 1441.46024) Full Text: DOI
Sato, Shuichi Characterization of \(H^1\) Sobolev spaces by square functions of Marcinkiewicz type. (English) Zbl 1433.46027 J. Fourier Anal. Appl. 25, No. 3, 842-873 (2019). Reviewer: Wen Yuan (Beijing) MSC: 46E35 42B25 42B30 PDFBibTeX XMLCite \textit{S. Sato}, J. Fourier Anal. Appl. 25, No. 3, 842--873 (2019; Zbl 1433.46027) Full Text: DOI