Chen, Jiecheng; Fan, Dashan; Zhao, Fayou Optimal estimate of an oscillatory operator on compact manifolds. (English) Zbl 1523.42015 J. Geom. Anal. 33, No. 6, Paper No. 174, 40 p. (2023). MSC: 42B15 41A25 43A22 PDFBibTeX XMLCite \textit{J. Chen} et al., J. Geom. Anal. 33, No. 6, Paper No. 174, 40 p. (2023; Zbl 1523.42015) Full Text: DOI
Chen, Jiecheng; Fan, Dashan; Zhao, Fayou Bochner-Riesz means on block-Sobolev spaces in compact Lie group. (English) Zbl 1441.43007 J. Aust. Math. Soc. 109, No. 2, 176-192 (2020). MSC: 43A22 43A32 42B25 42B35 PDFBibTeX XMLCite \textit{J. Chen} et al., J. Aust. Math. Soc. 109, No. 2, 176--192 (2020; Zbl 1441.43007) Full Text: DOI
Chen, Xianghong; Fan, Dashan On almost everywhere divergence of Bochner-Riesz means on compact Lie groups. (English) Zbl 1395.43004 Math. Z. 289, No. 3-4, 961-981 (2018). MSC: 43A22 43A32 43A25 42B25 PDFBibTeX XMLCite \textit{X. Chen} and \textit{D. Fan}, Math. Z. 289, No. 3--4, 961--981 (2018; Zbl 1395.43004) Full Text: DOI arXiv
Chen, Daning; Chen, Jiecheng; Fan, Dashan Riesz potentials, Riesz transforms on Lipschitz spaces in compact Lie groups. (English) Zbl 1512.43004 IAENG, Int. J. Appl. Math. 42, No. 3, 135-141 (2012). MSC: 43A22 PDFBibTeX XMLCite \textit{D. Chen} et al., IAENG, Int. J. Appl. Math. 42, No. 3, 135--141 (2012; Zbl 1512.43004)
Chen, Jiecheng; Fan, Dashan Optimal boundedness of central oscillating multipliers on compact Lie groups. (English) Zbl 1255.43002 Ann. Math. Blaise Pascal 19, No. 1, 123-145 (2012). Reviewer: Kathryn Hare (Waterloo) MSC: 43A22 42B25 43A32 43A30 PDFBibTeX XMLCite \textit{J. Chen} and \textit{D. Fan}, Ann. Math. Blaise Pascal 19, No. 1, 123--145 (2012; Zbl 1255.43002) Full Text: DOI
Chen, Jiecheng; Fan, Dashan A bilinear fractional integral on compact Lie groups. (English) Zbl 1246.43004 Can. Math. Bull. 54, No. 2, 207-216 (2011). Reviewer: Veronique Fischer (London) MSC: 43A77 43A22 43A32 PDFBibTeX XMLCite \textit{J. Chen} and \textit{D. Fan}, Can. Math. Bull. 54, No. 2, 207--216 (2011; Zbl 1246.43004) Full Text: DOI Link
Chen, Jiecheng; Fan, Dashan Central oscillating multipliers on compact Lie groups. (English) Zbl 1213.43003 Math. Z. 267, No. 1-2, 235-259 (2011). Reviewer: Michael J. Puls (New York) MSC: 43A22 43A32 42B25 PDFBibTeX XMLCite \textit{J. Chen} and \textit{D. Fan}, Math. Z. 267, No. 1--2, 235--259 (2011; Zbl 1213.43003) Full Text: DOI
Fan, Dashan; Xu, Zengfu A Hörmander multiplier theorem on Besov spaces. (English) Zbl 0878.43004 J. Math. Res. Expo. 15, No. 4, 477-484 (1995). Reviewer: B.B.Wells jun.(Charlotte) MSC: 43A15 43A22 43A77 PDFBibTeX XMLCite \textit{D. Fan} and \textit{Z. Xu}, J. Math. Res. Expo. 15, No. 4, 477--484 (1995; Zbl 0878.43004)
Fan, Dashan Spherical summations and summations by spherical means of Fourier series on classical groups. (Chinese) Zbl 0591.43012 Adv. Math., Beijing 14, No. 2, 158-167 (1985). Reviewer: R.L.Long MSC: 43A55 43A75 43A22 22E30 PDFBibTeX XMLCite \textit{D. Fan}, Adv. Math., Beijing 14, No. 2, 158--167 (1985; Zbl 0591.43012)