On a characterization of the analytic and meromorphic functions defined on some rigid domains
On a class of tangential Cauchy-Riemann maps
On a space of smooth functions on a convex unbounded set in ℝn admitting holomorphic extension in ℂn
For some given logarithmically convex sequence M of positive numbers we construct a subspace of the space of rapidly decreasing infinitely differentiable functions on an unbounded closed convex set in ℝn. Due to the conditions on M each function of this space admits a holomorphic extension in ℂn. In the current article, the space of holomorphic extensions is considered and Paley-Wiener type theorems are established. To prove these theorems, some auxiliary results on extensions of holomorphic functions...
On an integral-type operator from Zygmund-type spaces to mixed-norm spaces on the unit ball.
On asymptotic solutions of analytic equations
Sufficient conditions for the existence of an analytic solution of analytic equations in the complex and real cases are given.
On extensions of holomorphic functions satisfying a polynomial growth condition on algebraic varieties in
Let be an algebraic variety in and when is an integer then denotes all holomorphic functions on satisfying for all and some constant . We estimate the least integer such that every admits an extension from into by a polynomial , of degree at most. In particular is related to cohomology groups with coefficients in coherent analytic sheaves on . The existence of the finite integer is for example an easy consequence of Kodaira’s Vanishing Theorem.
On Hardy-Lipschitz spaces
On non-isomorphism of Banach spaces of holomorphic functions
On rational approximation in a ball in .
On some characterizations of Carleson type measure in the unit ball.
On strongly asymptotically developable functions and the Borel-Ritt theorem
We show that the holomorphic functions on polysectors whose derivatives remain bounded on proper subpolysectors are precisely those strongly asymptotically developable in the sense of Majima. This fact allows us to solve two Borel-Ritt type interpolation problems from a functional-analytic viewpoint.
On the existence of bounded holomorphic functions on complete Kähler manifolds.
On the movement of the Poincaré metric with the pseudoconvex deformation of open Riemann surfaces.
On the order of holomorphic and -holomorphic functions.