Research Interests

• Harmonic analysis; Harmonic analysis on groups

• Harmonic analysis techniques to PDE;

• Functions spaces.

Research Projects

• National Sciences Foundation of China for Young Scholar No. 10701010, Singular integrals with variable kernels along surfaces and parabolic type.
• Scientific Research Foundation for the Returned Overseas Chinese Scholars in 2007, State Education Ministry.

Publications

Selected Publication (A list of All papers can be found here) :

       ●   On the Boundedness of multilinear Littlewood-Paley g_{\lambda}^{*} function, (with S. Shi and K. Yabuta). J. Math. Pures Appl., to appear.

      ●   Weighted version of Carleson measure and multilinear Fourier multiplier, (with W. Li and K. Yabuta). Forum Mathematicum, to appear.

      ●   Weighted Estimates for the iterated Commutators of Multilinear Maximal and Fractional Type Operators. Studia Math, to appear.

      ●   Continuity property for the Commutators of Multilinear Calder\'on-Zygmund operators. (with W. Li). Forum Mathematicum, to appear.

      ●   $\lambda$-Central BMO Estimates for Commutators of Multilinear Maximal Operators. (with Z. Si) . Acta Math. Sin,Engl. Ser.29, (2013) 729-742.

      ●   Smoothness of Extremizers of a Convolution Inequality. (with M. Christ) . J. Math. Pures Appl., (2) 97 (2012), no 2,120-141.

      ●   A Remark to the L^2 boundedness of parametric Marcinkiewicz integral. (with Y. Ding, K. Yabuta). J. Math. Anal. Appl. 387(2), (2012) 691-697.

      ●       Multilinear version of reversed H\"{o}lder inequality and its applications to multilinear Calder\'{o}n-Zygmund operators (with J. Yan).  J. Math. Soc. Japan. 14, No.4

       (2012), 1-17.

     ●       Corrigendum to “Weighted estimates for a class of multilinear fractional type operators”[J. Math. Anal. Appl. 362 (2) (2010) 355–373] (with X. Chen).  J. Math. Anal. Appl.

       383 (2011) 634–635.

     ●   Maximal operator for multilinear Calderon-Zygmund singular integral operators on weighted Hardy spaces. (with Li,Yabuta). J.Math.Anal.Appl

       373, 2, (2011) 384–392.

     ●  Weighted Estimates for a Class of Multilinear Fractional Type Operators. (with Xi Chen). J. Math. Anal. Appl, 362, no. 2, (2010) pp. 355–373.

       ●   Multilinear Calderon-Zygmund operators on weighted Hardy spaces. (with W. Li and K. Yabuta). Studia Math, 199, No. 1 (2010), 1-16

      ●  On singular integral operators with rough kernel along surface. (with Y. Ding, K. Yabuta).   Integr. Equ. Oper. Theory 42 (2010) 68,

       151–161.

     ●  Boundedness of the Marcinkiewicz integrals with rough kernel associated to surfaces. (with Y. Ding, K. Yabuta).  Tohoku Math. J. 62

       (2010) 233–262,

     ●  Endpoint Estimates for a Class of Littlewood-Paley Operators with Nondoubling Measures (with J. Zhang).  J. Inequal. Appl. 2009,Art.

       ID 175230, 28 pp.

     ●  On the boundedness of singular integrals with variable kernels (with K. Yabuta). Tohoku Math. J. vol. 61, no. 1, pp. 41–65, 2009

      ●   Weighted estimates for the Multilinear commutators of the Littlewod-Paley operators (with Y. Ding). Science in China. Series A. 52(2009), No. 9. 1849--1868.

●  Parabolic Littlewod-Paley operators (with Yong Ding and K. Yabuta). Math. Nachr. vol. 282, no. 1, pp. 125–141, 2009

       ●        Parabolic Littlewood-Paley g-function with rough kernels(with Yong Ding and K. Yabuta), Acta Math. Sin. (Engl. Ser.) 24 (2008), No.12,

       2049-2060.

●        Weighted estimate for a class of Littlewood-Paley operators (with Yong Ding and K. Yabuta) Taiwanese J. Math. 11(2007), no. 2, 339--365.

●       -boundedness of Marcinkiewicz integrals along surfaces with variable kernels (another sufficient condition) (with K. Yabuta).  J. Inequal. Appl. 2007, Art. ID 26765, 14 pp.

●        Parameterized Littlewood-Paley operators on Hardy and weak Hardy spaces  (with Yong Ding and Shanzhen Lu).  Math. Nachr. 280(2007), No. 4. 351--363.

●        Weighted boundedness for parameterized Littlewood-Paley operators. (with Yong Ding). Taiwanese J. Math. 11(2007), No 4  1143--1165.

●        Parameterized Area integrals on Hardy spaces and weak Hardy spaces (with Yong Ding and Shanzhen Lu), Acta Math. Sin. (Engl. Ser.) 23 (2007), no. 9, 1537-1552.

●        Endpoint estimates for commutators of parameterized Littlewood-Paley  operators (with Yong Ding) Hokkaido Math. J. 36(2007), No. 2, 245—282.

●        Correction and Addition to "-boundedness of Marcinkiewicz integrals along surfaces with variable kernels" (with K. Yabuta) Sci. Math. Jpn. 65 (2007), no. 3, 291--298. (with K. Yabuta))

●        -boundedness of Marcinkiewicz integrals along surfaces with variable kernels.  Sci. Math. Jpn. 63 (2006), no. 3, 369--382. (with K. Yabuta)

●        Existence and boundedness of Parameterized Marcinkiewicz integral with rough kernel on Campanato spaces (with Yong Ding and K. Yabuta)  Nagoya Math. J. 181 (2006), 103–148.

●        Weak type (1, 1) bounds for a class of the Littlewood-Paley operators, J. Math. Soc. Japan, 57 (2005), no. 1, 184-194 ( with Yong Ding).

●        Marcinkiewicz Integral on Hardy spaces, Integr. Equ. Oper. Theory 42 (2002), no. 2, 174-182 (with Yong Ding and Shanzhen Lu).

●        Boundedness of commutators for the Marcinkiewicz integrals on Hardy spaces, Math. Sci. Res. Hot-Line 5, no. 9,  (2001) 47-58 (with Yong Ding and Shanzhen Lu).

●        On Marcinkiewicz Integral with homogeneous Kernels, J. Math. Anal. Appl. 245 (2000), no. 2, 471--488 (with Yong Ding and Shanzhen Lu).