Professor Qingying Xue
School of Mathematical Sciences
Beijing Normal University
| Personal Information | Research Interests | Research Projects | Publications | Teaching | Contact |
● 1998—2001 Graduate studies of Mathematics at Beijing Normal University, P. R. China.
Advisors were Prof. Yong Ding and Prof. Shanzhen Lu.
● 2001-2004 PhD Student in Department of Mathematics, Beijing Normal University, P. R. China.
Advisors were Prof. Yong Ding and Prof. Shanzhen Lu.
● 2004.-2005 Postdoc in Friedrich-Schiller-University Jena, Mathematical Institute, Germany.
● 2005- 2006 Postdoc position in Kwansei Gakuin University, Japan.
● Since 2006.6 Working at School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, P. R. China.
● 2009.11- 2010.12 Visiting Scholar at Department of Mathematics, University of California, Berkeley, Berkeley, CA 94720-3840 USA.
● 2017.7- 2018.1 Senior Visiting Scholar at Department of Mathematics, The University of Kansas, Lawrence , KS 66045-7594 USA.
Harmonic analysis; Harmonic analysis on groups
Harmonic analysis techniques to PDE;
Functions spaces.
● On weighted Compactness of Commutator of semi-group maximal function and fractional integrals associated to Schr\"odinger operators, (with S. Wang). Rev. Mat. Complut. To appear.
● On the regularity and continuity of the multilinear fractional strong maximal operators, (with F. Liu, K. Yabuta). Math. Nachr.To appear.
● Regularity and continuity of commutators of multilinear maximal operators , (with F. Liu, P. Zhang). New York J Math.To appear.
● Weighted estimates for maximal bilinear rough singular integrals via sparse dominations, (with Z. Wang, and X. Duan). Collect. Math. To appear.
● Sobolev boundedness and continuity for commutators of the local Hardy–Littlewood maximal function, (with F. Liu and K. Yabuta). Ann. Acad. Sci. Fenn. Math. To appear.
● On oscillatory singular integrals and their commutators with non-convolutional H\"{o}lder class kernels, (with F. Liu and S. Wang). Banach J. Math. Anal. 15 (2021), no. 3, Paper No. 51, 35 pp.
● Weighted Fr\'{e}chet-Kolmogorov theorem and compactness of vector-valued multilinear operators, (with K. Yabuta and J. Yan). J. Geom. Anal. 31 (2021), no. 10, 9891-9914.
● Weighted estimates for bilinear Fourier multiplier operators with multiple weights, (with G. Hu and Z. Wang and K. Yabuta). J. Geom. Anal. 31 (2021), no. 2, 2152-2171.
● On the composition of rough singular integral operators, (with G. Hu and X. Lai). J. Geom. Anal.31 (2021), no. 3, 2742-2765.
● Multilinear Littlewood-Paley-Stein operators on non-homogeneous spaces, (with M. Cao). J. Geom. Anal. 31 (2021), no. 9, 9295-9337.
● XMO and weighted compact bilinear commutators, (with J. Tao, D. Yang and W. Yuan). J. Fourier Anal. Appl.27 (2021), no. 3, Paper No. 60, 34 pp.
● Regularity and continuity of the multilinear strong maximal operators, (with Feng Liu and K. Yabuta). J. Math. Pures Appl. (9) 138 (2020), 204-241.
● Weak and strong type estimates for the multilinear pseudo-differential operators, (with M. Cao and K. Yabuta). J. Funct. Anal. 278 (2020), no. 10, 108454, 46 pp. .
● On compactness of commutators of multiplication and bilinear pseudodifferential operators and a new subspace of BMO, (with R.H. Torres). Revista Matemática Iberoamericana.36 (2020), no. 3, 939-956..
● On rough singular integrals along real analytic submanifolds, (with F. Liu and H. Wu). Forum Math. 32 (2020), no. 2, 361-380.
● A note on endpoint Sobolev regularity of a class of bilinear maximal functions, (with F. Liu and K. Yabuta). Results in Mathematics. 75 (2020), no. 1, Paper No. 13, 12 pp.
● On the boundedness of multilinear fractional strong maximal operator with multiple weights, (with M. Cao and K. Yabuta). Pacific J. Math. 303 (2019), No. 2, 491-518.
● Boundedness and continuity of maximal singular integrals and maximal functions on Triebel-Lizorkin spaces, (with F. Liu, K. Yabuta). Sci. China Math. (2020), no. 5, 907-936.
● Regularity and continuity of local multilinear maximal type operators, (with J. Hart and F. Liu). J. Geom. Anal. 31 (2021), no. 4, 3405-3454.
● On the bilinear square Fourier multiplier operators associated with $g_{\lambda}^*$ function, (with Z. Li). Nagoya Math J. 239 (2020), 123-152.
● A revisit on commutators of linear and bilinear fractional integral operator, (with M.Cao). Tohoku Math J.,2019,303-318.
● Parametrized multilinear Littlewood-Paley operators on Hardy spaces, (with S. He). Taiwanese J. Math. 23 (2019), no. 1, 87-101.
● Compact bilinear commutators: the quasi-Banach space case, (with R.H. Torres, J. Yan). J. Anal. 26 (2018), no. 2, 227-234.
● A note on Carleson embedding theorems, (with M. Cao, H. Tanaka, K. Yabuta). Publ. Math. Debrecen 93 (2018), no. 3-4, 517-523.
● On general multilinear square function with non-smooth kernels, (with H. Mahdi; Z.Si). Bull. Sci. Math. 149 (2018), 1-22.
● Boundedness of bi-parameter Littlewood-Paley operators on product Hardy space, (with Z. Li). Rev. Mat. Complut. 31 (2018), no. 3, 713-745.
● Characterizations of the multiple Littlewood-Paley operators on product domains, (with F.Liu). Publ. Math. Debrecen 92 (2018), no. 3-4, 419-439.
● A characterization of two-weight norm inequality for Littlewood-Paley $g_{\lambda}^*$-function, (with M. Cao and K. Li). J. Geom. Anal. 28 (2018), no. 2, 842-865.
● Rough maximal singular integral and maximal operators supported by subvarieties on Triebel-Lizorkin spaces, (with F.Liu and K. Yabuta). Nonlinear Analysis: TMA. 171 (2018), 41-72.
● A non-homogeneous local Tb theorem for Littlewood-Paley $g^*_\lambda$-function with $L^p$-testing condition, (with M. Cao). Forum Math. 30 (2018), no. 2, 457-478.
● Corrigendum to ``On multilinear fractional strong maximal operator associated with rectangles and multiple weights'' [Rev. Mat. Iberoam. 33(2017),555-572], (with Cao and Yabuta). Rev. Mat. Iberoam. 34 (2018), 475-479.
● On the bilinear square Fourier multiplier operators and related multilinear square functions, (with Z. Si and K. Yabuta). Sci. China Math. 60 (2017), no. 8, 1477-1502
● On multilinear fractional strong maximal operator associated with rectangles and multiple weights, (with M. Cao and K. Yabuta). Revista Matemática Iberoamericana. 33 (2017), NO. 2, 555-572
● Bi-parameter Littlewood-Paley operators with upper doubling measures, (with M. Cao). Illinois J. Math. 61 (2017), no. 1-2, 53-79.
● Compactness of maximal commutators of bilinear Calderón-Zygmund singular integral operators, (with Y. Ding and T. Mei). Some topics in harmonic analysis and applications, 163–175, Adv. Lect. Math. (ALM), 34, Int. Press, Somerville, MA, 2016.
● Certain Multi(sub)linear square functions, (with L. Grafakos and S. He). Potential Analysis. 45 (2016) , 55-64
● Characterization of two-weighted inequalities for multilinear fractional maximal operator, (with M. Cao). Nonlinear Analysis: TMA. 130 (2016) 214-228.
● Generalized commutators of multilinear Calderon-Zygmund operators, (with J. Yan). J. Math. Soc. Japan, 68 (2016), No.3, 1161-1168.
● Fractional type Marcinkiewicz integral operators on function spaces, (with K. Yabuta and J. Yan). Forum Mathematicum, 27 No 2 (2015), 3079-3109. .
● Existence and boundedness of multilinear Littlewood-Paley operators on Campanato spaces, (with S. He, T. Mei and K. Yabuta). J. Math. Anal. Appl., 432 (2015) 86-102.
● Weighted version of Carleson measure and multilinear Fourier multiplier, (with W. Li and K. Yabuta). Forum Mathematicum, 27 No 2 (2015), 787-805.
● On the Theory of Multilinear Littlewood-Paley $g$-function, (with X. Peng and K. Yabuta). J. Math. Soc. Japan, 67 No.2, (2015) 535-559 .
● On multilinear Littlewood-Paley operators, (with X. Chen and K. Yabuta). Nonlinear Analysis: TMA, 115,(2015) 25-40.
● On multilinear square function and its applications to multilinear Littlewood-Paley operators with non-convolution type kernels, (with J. Yan). J. Math. Anal. Appl. 422, (2015), 1342-1362.
● A note on multilinear Muckenhoupt classes for multiple weights, (with S. Chen and H. Wu.). Studia Math, 223 (2014), 1-18.
● On the Boundedness of multilinear Littlewood-Paley g_{\lambda}^{*} function (with S. Shi and K. Yabuta). J. Math. Pures Appl. 101 (2014) 394-413.
● Weighted Estimates for Commutators of Vector-Valued Maximal Multilinear Operators, (with Z. Si). Nonlinear Analysis: TMA, 96 (2014) 96-108.
● Weighted Estimates for the iterated Commutators of Multilinear Maximal and Fractional Type Operators. Studia Math, 217 (2013), 97-122.
● Continuity property for the Commutators of Multilinear Calder\'on-Zygmund operators. (with W. Li). Forum Mathematicum, 25 (2013) 771-785.
● $\lambda$-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,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. 2019, 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.) . No. 12, 2008,2049-2060.
● 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.
● 
-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).
Xi Chen------------(Now Ph.D student at Australian National University)
Wenjuan Li-------- (Now Ph.D student at Christian-Albrechts-Universit?t zu Kiel)
Jingquan Yan-------(Ph.D student at Beijing Normal University)
Sha He-------------(Ph.D student at Beijing Normal University)
Zhengyang Li-------(Ph.D student at Beijing Normal University)
Desan Xu-----------(Master student at Beijing Normal University)
Mingming Cao-------(Master student at Beijing Normal University)
Xiuxiang Peng------(working in Da Qing)
College Mathmatics (I) (Fall 2007)
College Mathmatics (II) (Spring 2008)
College Mathmatics (I) (Fall 2011)
Content: 1. chapt1.rar 2.chapt2.1.rar
Homework: 14-Sept.doc
School of Mathematical Sciences
Beijing Normal University
Beijing, 100875, P. R. China
Email: qyxue@bnu.edu.cn
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Q.Xue last update 06/2011