Outer functions of 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.

Approximately generalized additive functions in several variables

The goal of  this paper is to investigate the solutionand stability in random normed spaces, in non--Archimedean spacesand also in $p$--Banach spaces and finally the stability using thealternative fixed point of generalized additive functions inseveral variables.

Pseudo-Conformal Geometry of Polygenic Functions of Several Complex Variables.

On Identical Vanishing of Holomorphic Functions in Several Complex Variables.

We will make some comment on the following recent result of J. J. Kohn. In the complex space Cn:(z1, . . . , zn) if fl, . . . , fn are holomorphic in the unit ball and have continuous boundary values on the boundary, and if on the boundary the linear combination 1fi+ + j,,f is 0, then the functions fl, . .. , f,, are identically 0. 1. We denote by D any bounded circular domain in C., by B its b...

Inequalities for Holomorphic Functions of Several Complex Variables

Sharp norm-inequalities, valid for functional Hilbert spaces of holomorphic functions on the polydisk, unit ball and C" are established by using the notion of reproducing kernels. These inequalities extend earlier results of Saitoh and ours.