On the Bohr radius for two classes of holomorphic functions.
On the boundary regularity of proper mappings
On the Briançon-Skoda theorem on a singular variety
Let be a germ of a reduced analytic space of pure dimension. We provide an analytic proof of the uniform Briançon-Skoda theorem for the local ring ; a result which was previously proved by Huneke by algebraic methods. For ideals with few generators we also get much sharper results.
On the Cauchy problem in a class of entire functions in several variables
We study the integral representation of solutions to the Cauchy problem for a differential equation with constant coefficients. The Cauchy data and the right-hand of the equation are given by entire functions on a complex hyperplane of . The Borel transformation of power series and residue theory are used as the main methods of investigation.
On the class of entire Dirichlet functions of several complex variables having finite order point
On the class of integral functions represented by Dirichlet series of several complex variables having finite growth
On the coefficient multipliers of Bloch and Hardy spaces in a polydisk.
On the convergence domains of hypergeometric series in several variables.
On the convergence of multivariate Padé approximants.
On the convolution of analytic functions.
On the dependence of the Bergman function on deformations of the Hartogs domain
We apply the Rudin idea to represent the Bergman kernel of the Hartogs domain as the sum of a series of weighted Bergman functions in the study of the dependence of this kernel on deformations of the domain. We prove that the Bergman function depends smoothly on the function defining the Hartogs domain.
On the differential properties of Temlyakov-type and Temlyakov-Bavrin-type integrals.
On the Djrbashian kernel of a Siegel domain
We establish an inversion formula for the M. M. Djrbashian A. H. Karapetyan integral transform (cf. [6]) on the Siegel domain , . We build a family of Kähler metrics of constant holomorphic curvature whose potentials are the -Bergman kernels, α > -1, (in the sense of Z. Pasternak-Winiarski [20] of . We build an anti-holomorphic embedding of in the complex projective Hilbert space and study (in connection with work by A. Odzijewicz [18] the corresponding transition probability amplitudes....
On the dual space of a weighted Bergman space on the unit ball of .
On the existence of bounded holomorphic functions on complete Kähler manifolds.
On the expansions of analytic functions on convex locally closed sets in exponential series.
On the extension in the Hardy classes and the Nevanlinna class
On the Extreme Points of a Subclass of Holomorphic Functions with Positive Real Part.
On the finite Fourier transforms of functions with infinite discontinuities.
On the Forelli-Rudin construction and weighted Bergman projections