Geometric Function Theory in Several Complex Variables, Proceedings of a Satellite Conference to the Int'l Congress of Mathematicians in Beijing 2002

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The papers contained in this book address problems in one and several complex variables. The main theme is the extension of geometric function theory methods and theorems to several complex variables. The papers present various results on the growth of mappings in various classes as well as observations about the boundary behavior of mappings, via developing and using some semi group methods.
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Product Details

  • ISBN-13: 9789812560230
  • Publisher: World Scientific Publishing Company, Incorporated
  • Publication date: 9/28/2004
  • Pages: 352
  • Product dimensions: 6.10 (w) x 9.00 (h) x 1.00 (d)

Table of Contents

Subriemannian geometry and subelliptic partial differential equations 1
Defective values of double Meissel's formula and reduction of space-time requirement of Meissel-Lehmer-Lagarias-Odlyzko's algorithm : an experimental program to find [pi](10[superscript 21]) 37
Hardy space of holomorphic functions in infinite complex variables 50
The law of the iterated logarithm for pluriharmonic functions in the unit ball of [actual symbol not reproducible][superscript n] 66
Proper holomorphic mappings between some generalized Hartogs triangles 74
Semigroups of holomorphic mappings with boundary fixed points and spirallike mappings 82
Invariant mappings in geometric function theory 118
The Cauchy theorem for domains of arbitrary connectivity in Riemann surfaces 123
The distortion theorems for convex mappings in several complex variables 143
Anti-holomorphically reversible holomorphic maps that are not holomorphically reversible 151
Basic properties of Loewner chains in several complex variables 165
The Euler-Lagrange cohomology on symplectic manifolds 182
A new inequality and its applications 208
Extended Cesaro operators on the Bloch space in the unit ball of [actual symbol not reproducible][superscript n] 212
On the criteria for Schatten von Neumann class of composition operators on Hardy and Bergman spaces in domains in [actual symbol not reproducible][superscript n] 220
The higher order lineal partial differential integral equations on closed smooth manifolds in [actual symbol not reproducible][superscript n] 245
The new characteristics for spirallike mappings of type [alpha] on bounded balanced pseudoconvex domains 252
The growth and 1/2-covering theorems for quasi-convex mappings 265
Intermediate value theorem for functions of classes of Riemann surfaces 279
Integral formula for differential forms of type (P,Q) on complex Finsler manifolds 287
Holomorphic mappings of domains in [actual symbol not reproducible][superscript n] onto convex domains 295
Rigidity of proper holomorphic mappings between bounded symmetric domains 310
A Hadamard theorem on algebraic curves 317
Hodge-Laplace operator on complex Finsler manifolds 325
Weighted composition operators on the Lipschitz space in polydiscs 333
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