Research Preprints

  1.         Bo Li and Y. Pan,  Berezin's operator calculus and higher order Schwarz-Pick lemma,
                       to appear in Complex Variables and Elliptic Equations, 13 pages. PDF.
  2.         Y. Pan and M. Wang,  Some limiting properties of analytic functions and harmonic functions,
                       44 pages. PDF.
  3.         Y. Pan and M. Wang,  A note on Harnack inequality in the unit ball,
                       10 pages. PDF
  4.         Y. Pan and M. Wang,  On the monotonicity of positive invariant harmonic functions in the unit ball,
                       19 pages. PDF
  5.        Y. Pan, A remark on Fourier series of a complex measure,
                       5 pages. PDF
  6.        Y. Pan, On spherical harmonic expansions of complex Borel measures on the unit sphere,
                       7 pages. PDF
  7.        Y. Pan, Positive harmonic functions in the unit ball,
                       20 pages. PDF
  8.        Shaoyu Dai and Y. Pan, Estimation of derivatives for bounded analytic functions and positive real part analytic functions,
                       in Chinese, 12 pages. PDF
  9.         Y. Pan and M. Wang, An application of Hardy-Littlewood Tauberian theorem to harmonic expansion of a complex measure on the sphere,
                       8 pages. PDF.
  10.         Y. Pan and M. Wang, A variant of Hopf Lemma for second order differential inequalities,
                       12 pages. PDF.
  11.         Y. Pan and M. Wang, Uniqueness of nth order differential systems with strong singularity,
                       8 pages. PDF.
  12.         A. Coffman and Y. Pan,  Smooth counterexamples to strong unique continuation for a Beltrami system in C2,
                       to appear in Communications in Partial Differential Equations, 18 pages. Posted Feb. 11, 2011, updated Dec. 8, 2011. PDF.

 

          Research Publications in refereed journals

  1.         A. Coffman and Y. Pan,  Glaeser's inequality on an interval,
                       Real Analysis Exchange (2) 36 (2010/2011), 483-490.     PDF

  2.         A. Coffman and Y. Pan,  Some nonlinear differential inequalities and an application to Hölder continuous almost complex structures,
    Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire (2) 28 (2011), 149-157. PDF.

  3.        S. Dai, H. Chen, and Y. Pan, The Schwarz-Pick lemma of high order in several variables,
                       Michigan Math. J. 59 (2010), 517-533. PDF

  4.        S. Dai, H. Chen, and Y. Pan, The high order Schwarz-Pick lemma on complex Hilbert balls,
                       Science China Mathematics (2010), 9 pages, published online. PDF

  5.        Shaoyu Dai and Y. Pan, Estimation of nth derivatives for bounded analytic functions,
                       J. of Math. (PRC) (2) 30 (2010), in Chinese, 7 pages. PDF

  6.        Y. Pan and M. Wang, A uniqueness result for ordinary differential equations with singular coefficients.
                       Electron. J. Differential Equations 2009, No. 56, 6 pp.

  7.        Han Jing, Shaoyu Dai, and Y. Pan, On unique continuation property for the sub-Laplacian in the Heisenberg group,
                       in Chinese, J. Systems Sci. Math. Sci. 28 (2008), no. 1, 99--106. PDF

  8.         Z. Chen and Y. Pan,  Proper holomorphic self-maps of smooth bounded Reinhardt domains in C2,
                       Science in China (Series A: Mathematics) (1) 51 (2008), 93-100. PDF
  9.         Y. Pan and M. Wang,  On higher order angular derivatives of harmonic functions in the unit ball - an application of Faa di Bruno's formula,
                       Complex Variables and Elliptic Equations 53 (2): 159-175. PDF
  10.         Y. Pan and M. Wang,  When is a function not flat?
                       Journal of Mathematical Analysis and Applications (1) 340 (2008), 536-542. PDF.
  11.        Shaoyu Dai and Y. Pan, Note on Schwarz-Pick estimates for bounded and positive real part analytic functions,
                       Proc. Amer. Math. Soc. 136 (2008), 635-640. PDF
  12.         Y. Pan and M. Wang,  Monotonicity of Harnack inequality for positive invariant harmonic functions,
                       Journal of Applied Mathematics and Stochastic Analysis 2007 (2007), Article ID 39171, 12 pages.
                      doi:10.1155/2007/39171

  13.         A. Coffman and Y. Pan, Proper holomorphic maps from domains in C2 with transverse circle action,
                       Chinese Annals of Mathematics (English Series B) (5) 28 (2007), 533-542. PDF

  14.         Y. Pan,  Proper holomorphic self-maps of smooth bounded Reinhardt domains in Cn,
                       Sci. China Ser. A 48 (2005), suppl., 318-323.
     
  15.         Y. Pan, M. Zhou, and J. Han, On smooth CR homeomorphisms between real hypersurfaces in Cn,
                      Journal of Jiangxi Normal University (5) 29 (2005), 400-403.
     
  16.         A. Coffman, D. Legg, and Y. Pan, A Taylor series condition for harmonic extension,
                       Real Analysis Exchange (1) 28 (2002-2003), 235-253. PDF
     
  17.         D. Legg, Y. Pan, Discontinuity of best harmonic approximants,
                      Journal of Approximation Theory 96 202-212 (1999).
     
  18.         B. Coupet , Y. Pan , A. Sukhov, On proper holomorphic mappings from 
                       domains with T-action,  Nagoya Mathematical Journal  154 (1999), 57-72.      
     
  19.         Y. Pan, Thomas Wolff,  A remark on unique continuation,
                       Journal of  Geometric Analysis (4) 8 (1998), 599-604. PDF
     
  20.         Y. Pan,  A characterization of the finite multiplicity of a CR mapping,
                       Michigan Math. Journal   43 (1996)  466-474.
  21.      Y. Pan, Biholomorphic mappings between bounded domains in Cn,
                       Manuscripta Mathematica   90 (1996), 317-331
  22.      X. Huang, Y. Pan, On proper holomorphic self-mappings of Hartogs domains
                    in Cn,   Complex Variables: Theory and Applications,  Vol 29, 81-85 (1996)
  23.      X. Huang, Y. Pan, On proper holomorphic mappings between  real analytic
                    domains in Cn,   Duke Journal of  Math. Vol. 82, 1-10, 1996
  24.      B. Coupet, Y. Pan, A. Sukhov,  Proper holomorphic self-maps of quasi-circular domains in C2,
               Nagoya Math. J. 164 (2001), 1--16.
  25.      Y. Pan, C. Zhu,  Existence of random solutions for a class of random
               operator equations, Acta Math. Sci. Ser. A (Chinese Ed.) 23 (2003), no. 3, 276-279.
  26.      Y. Pan, Unique continuation of weakly conformal mappings between Riemannian
                 manifolds,  Rocky Mountain Journal of Math.  1995 vol 25, no. 4, 1477-1483.
  27.    Y. Pan, Real analyticity of homeomorphic CR mappings between
                  real analytic hypersurfaces in C2,
                 Proceedings of  American Mathematical Society, Feb. 1995, vol 123, no. 2,     
                  273-278.
  28.    X. Huang, S. Krantz, D. Ma, Y. Pan, A Hopf lemma for holomorphic functions and
                 applications,  Complex Variables: Theory and Applications, 1995, vol 26, no.4,
                 273-276.
  29.    X. Huang, Y. Pan, Proper holomorphic self-mappings of Hartogs domains in C2,
                  Michigan Journal of Math. 1993, vol 4, 211-216.
  30.    Y. Pan, Unique continuation of Schrödinger operators with singular potentials,
                 Communications in Partial Differential Equations, 1992, vol 17, 953-965. PDF
  31.    Y. Pan, Proper holomorphic self-mappings of Reinhardt domains,
                 Math. Zeitschrift, 1991, vol 208, 289-295.
  32.    Y. Pan,  The asymptotic behavior of analytic functions with positive real part,
                  Journal of Math. Research and Exposition, 1988 , vol 8, 45-50.
  33.    K. Hu, Y. Pan, On sections of odd univalent  functions,
                  Chinese Annals of Math.,  1984,  vol 4 (5B), 727-730.
  34.    K. Hu, Y. Pan,  On a theorem of Szegö,
                 Journal of Math. Research and Exposition, 1984, vol 4, no. 1 41-44.
  35.    Y. Pan,  On a result of Yamaguchi,
                 Journal of Jiangxi Teacher's University, 1984, vol 2, 28-32.
  36.    Y. Pan and X. Liao,  On the estimates of bounded analytic functions,
                 Journal of Jiangxi Normal University, 1984, vol 1, 21-24.
  37.    Y. Pan and Ke Hu, On a coefficent problem of close-to-convex functions,
                  Journal of Jiangxi Normal University, 1983, vol 1, 23-27.
  38.    Y. Pan, On a property of functions of Hardy Space,
                 Journal of Jiangxi Normal University, 1983, vol 1, 28-31.
  39.    Y. Pan,  On starlike radius of sections of a class of analytic functions,
                 Journal of Jiangxi Normal University, 1983, vol 1, 32-35.