Complex Analysis I

1. Front Matter

   Pages I-XV

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2. Bazilevič theorem and the growth of univalent functions

   • Dov Aharonov

   Pages 1-9

3. Möbius invariant spaces of analytic functions

   • J. Arazy, S. Fisher, J. Peetre

   Pages 10-22

4. Dubinin's symmetrization theorem

   • Albert Baernstein II

   Pages 23-30

5. Functions with rapidly decreasing negative fourier coefficients

   • James E. Brennan

   Pages 31-43

6. On the theory and applications of Qm-normal families of meromorphic functions

   • Chi-tai Chuang

   Pages 44-77

7. Cauchy Transforms of measures and univalent functions

   • Joseph A. Cima, Thomas H. MacGregor

   Pages 78-88

8. Harmonic majorization, harmonic measure and minimal thinness

   • Matts Essén

   Pages 89-112

9. Unramified coverings of hyperelliptic Riemann surfaces

   • H. M. Farkas

   Pages 113-130

10. Arcs on which a univalent function has small magnitude

    • Carl H. FitzGerald

    Pages 131-148

11. Uniform and better-than-uniform elliptic approximations on unbounded sets

    • Paul M. Gauthier

    Pages 149-157

12. Discrete convergence groups

    • F. W. Gehring, G. J. Martin

    Pages 158-167

13. Representation and duality in weighted frechet spaces of entire functions

    • F. Haslinger, M. Smejkal

    Pages 168-196

14. Real zeros of derivatives of meromorphic functions and solutions of differential equations — A survey with problems and conjectures

    • Simon Hellerstein

    Pages 197-209

15. Some estimates for harmonic measures

    • James A. Jenkins

    Pages 210-214

16. Hausdorff measures and removable sets

    • Robert Kaufman

    Pages 215-222

17. Approximations of sobolev functions and related topics

    • John L. Lewis

    Pages 223-234

18. Inequalities for the hyperbolic metric and applications to geometric function theory

    • David Minda

    Pages 235-252

19. Subharmonic functions with unilateral growth conditions

    • P. J. Rippon

    Pages 253-265

20. Kirwan's conjecture

    • Glenn E. Schober

    Pages 266-271

The past several years have witnessed a striking number of important developments in Complex Analysis. One of the characteristics of these developments has been to bridge the gap existing between the theory of functions of one and of several complex variables. The Special Year in Complex Analysis at the University of Maryland, and these proceedings, were conceived as a forum where these new developments could be presented and where specialists in different areas of complex analysis could exchange ideas. These proceedings contain both surveys of different subjects covered during the year as well as many new results and insights. The manuscripts are accessible not only to specialists but to a broader audience. Among the subjects touched upon are Nevanlinna theory in one and several variables, interpolation problems in Cn, estimations and integral representations of the solutions of the Cauchy-Riemann equations, the complex Monge-Ampère equation, geometric problems in complex analysis in Cn, applications of complex analysis to harmonic analysis, partial differential equations.

• Chern class
• Complex analysis
• Derivative
• Meromorphic function
• Nevanlinna theory
• Riemann surfaces
• calculus
• differential equation
• measure
• minimum