A Local Version of Levenberg's Theorem on Determining Measures and Leja's Polynomial Condition.
A note on the Nullstellensatz for c-holomorphic functions
We begin this article with a graph theorem and a kind of Nullstellensatz for weakly holomorphic functions. This yields a general Nullstellensatz for c-holomorphic functions on locally irreducible sets. In Section 2 some methods of Płoski-Tworzewski permit us to prove an effective Nullstellensatz for c-holomorphic functions in the case of a proper intersection with the degree of the intersection cycle as exponent. We also extend this result to the case of isolated improper intersection, generalizing...
A notion of extremal analytic discs related to interpolation in the ball.
Areas of Projections of Analytic Sets.
Counterexamples to the Gleason problem
Domaines de , pseudoconvexes et de type fini ayant un groupe non compact d’automorphismes
On démontre que les domaines bornés, pseudo-convexes, à frontière lisse, de type fini dans , ayant un groupe d’automorphismes non compact sont biholomorphes à des domaines de la forme , où est un polynôme sousharmonique dont le degré est majoré par le type de la frontière du domaine.
Hyperbolische Komplexe Räume und die Vermutung von Mordell.
Invariant Functions on Neil Parabola in Cn
2000 Mathematics Subject Classification: Primary 32F45.We present the Carathéodory and the inner Caratheodory distances and the Carathéodory-Reiffen metric on generalized Neil parabolas in Cn. It is a generalization of the results from [4] and [5].This work is a part of the Research Grant No. 1 PO3A 005 28, which is supported by public means in the programme promoting science in Poland in the years 2005–2008.
Maximum modulus in a bidisc of analytic functions of bounded -index and an analogue of Hayman’s theorem
We generalize some criteria of boundedness of -index in joint variables for in a bidisc analytic functions. Our propositions give an estimate the maximum modulus on a skeleton in a bidisc and an estimate of th partial derivative by lower order partial derivatives (analogue of Hayman’s theorem).
Non-homogeneous directional equations: Slice solutions belonging to functions of bounded -index in the unit ball
For a given direction we study non-homogeneous directional linear higher-order equations whose all coefficients belong to a class of joint continuous functions which are holomorphic on intersection of all directional slices with a unit ball. Conditions are established providing boundedness of -index in the direction with a positive continuous function satisfying some behavior conditions in the unit ball. The provided conditions concern every solution belonging to the same class of functions...
Normal families of proper holomorphic correspondences.
On Some of Professor Peter Rusev's Contributions
MSC 2010: 33-00, 33C45, 33C52, 30C15, 30D20, 32A17, 32H02, 44A05The 6th International Conference "Transform Methods and Special Functions' 2011", 20 - 23 October 2011 was dedicated to the 80th anniversary of Professor Peter Rusev, as one of the founders of this series of international meetings in Bulgaria, since 1994. It is a pleasure to congratulate the Jubiliar on behalf of the Local Organizing Committee and International Steering Committee, and to present shortly some of his life achievements...
On the order of holomorphic and -holomorphic functions.
Prolongement des solutions d'un opérateur différentiel d'ordre infini
Schottky-Landau growth estimates for s-normal families of holomorphic mappings.
Tautness of locally taut domains in complex spaces
A necessary and sufficient condition for tautness of locally taut domains in a weakly Brody hyperbolic complex space is given. Moreover, some results of Kobayashi and Gaussier are deduced as corollaries.
The Łojasiewicz exponent of c-holomorphic mappings
The aim of this paper is to study the Łojasiewicz exponent of c-holomorphic mappings. After introducing an order of flatness for c-holomorphic mappings we give an estimate of the Łojasiewicz exponent in the case of isolated zero, which is a generalization of the one given by Płoski and earlier by Chądzyński for two variables.
To the question on -sufficient sets.
О задаче Каратеодори-Фейера в многомерном комплексном анализе
Об общих базисах пространств and .