Some Remarks Concerning Quasiconformal Extensions in Several Complex Variables

Some Remarks Concerning Quasiconformal Extensions in Several Complex Variables

Some inequalities in connection to relative orders of entire functions of several complex variables

Let f, g and h be all entire functions of several complex variables. In this paper we would like to establish some inequalities on the basis of relative order and relative lower order of f with respect to g when the relative orders and relative lower orders of both f and g with respect to h are given.

On Some Problems in Several Complex Variables and Cr Geometry

0. Introduction. Geometric analysis in several complex variables and Cauchy Riemann geometry has been a quite active subject in pure and applied mathematics for decades. The classical work of Poincaré, Hartogs, Levi, E. Cartan, etc at the beginning of the century laid down part of the frame work of such a study. Since then, more and more attention has be paid to this field, as people discover i...

Some Results Related to Group Actions in Several Complex Variables

In this talk, we’ll present some recent results related to group actions in several complex variables. We’ll not aim at giving a complete survey about the topic but giving some our own results and related ones. We’ll divide the results into two cases: compact and noncompact transformation groups. We emphasize some essential differences between the two cases. In the compact case, we’ll mention s...

Complex Dynamics in Several Variables

1. Motivation 117 2. Iteration of Maps 118 3. Regular Versus Chaotic Behavior 119 4. The Horseshoe Map and Symbolic Dynamics 120 5. Hénon Maps 123 6. Properties of Horseshoe and Hénon Maps 126 7. Dynamically Defined Measures 127 8. Potential Theory 129 9. Potential Theory in One-Variable Dynamics 131 10. Potential Theory and Dynamics in Two Variables 133 11. Currents and Applications to Dynamic...