ON IDENTICAL VANISHING OF HOLOMORPHIC FUNCTIONS IN SEVERAL COMPLEX VARIABLES. [PDF]
Proc Natl Acad Sci U S A, 1959 Bochner S.
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Bounded Holomorphic Functions of Several Complex Variables. I [PDF]
Transactions of the American Mathematical Society, 1971 A domain of bounded holomorphy in a complex analytic manifold is a maximal domain for which every bounded holomorphic function has a bounded analytic continuation. In this paper, we show that this is a local property: if, for each boundary point of a domain, there exists a bounded holomorphic function which cannot be continued to any neighborhood of ...
Dong Sie Kim
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Inequalities for Holomorphic Functions of Several Complex Variables [PDF]
Transactions of the American Mathematical Society, 1983 Sharp norm-inequalities, valid for functional Hilbert spaces of holomorphic functions on the polydisk, unit ball and C n {{\mathbf {C}}^n} are established by using the notion of reproducing kernels.
Jacob Burbea
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Asymptotic first boundary value problem for holomorphic functions of several complex variables [PDF]
Canadian Mathematical Bulletin, 2021 AbstractIn 1955, Lehto showed that, for every measurable function $\psi $ on the unit circle ${\mathbb T}$ , there is a function f holomorphic in the unit disc ${{\mathbb D}}$ , having $\psi $ as radial limit a.e. on ${\mathbb T}$ . We consider an analogous boundary value problem, where the unit disc is replaced by a Stein domain on a complex ...
Paul M. Gauthier, Mohammad Shirazi
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New properties of some families of holomorphic functions of several complex variables [PDF]
Demonstratio Mathematica, 2009 AbstractThe paper concerns holomorphic functions in complete ...
Edyta Leś-Bomba, Piotr Liczberski
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Removable sets for holomorphic functions of several complex variables [PDF]
Publicacions Matemàtiques, 1989 We show that every closed subset of CN that has finite (2N-2) dimensional measure is a removable set for holomorphic functions, and we obtain a related result on the ball.
Edgar Lee Stout
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Partial and Local Argument Properties of Holomorphic and Meromorphic Complex Functions in Several Variables [PDF]
Mathematical Problems in Engineering, 2019 The study describes a general argument analysis technique for holomorphic and meromorphic complex functions in several variables, or simply n‐variable complex functions with n ≥ 2. Argument analytic relationships for n‐variable complex functions with significance similar to the argument principle for one‐variable ones are retrieved partially and ...
Jun Zhou, Zhaoxia Duan
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Extremal Problems of Some Family of Holomorphic Functions of Several Complex Variables [PDF]
Symmetry, 2019 Many authors, e.g., Bavrin, Jakubowski, Liczberski, Pfaltzgraff, Sitarski, Suffridge, and Stankiewicz, have discussed some families of holomorphic functions of several complex variables described by some geometrical or analytical conditions. We consider a family of holomorphic functions of several complex variables described in n-circular domain of the
Edyta Trybucka
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Topological properties of the Fréchet space of holomorphic functions of several complex variables
Mathematica Montisnigri, 2023 Let 𝑁p(𝐵n) (𝑝 > 1) be the Privalov class of holomorphic functions on the unit ball 𝐵n in the space of 𝑛-complex variables. The class 𝑁p(𝐵n) (𝑝 > 1), equipped with the topology given by a natural metric, becomes an 𝐹-algebra. In this paper, we shall introduce a Fréchet space Fp(𝐵n) (𝑝 > 1) of holomorphic functions on 𝐵n which contains 𝑁p(𝐵n ...
Yasuo Iida
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Some Normality Criteria for Families of Holomorphic Functions of Several Complex Variables [PDF]
, 2020 12 ...
Kuldeep Singh Charak, Rahul Kumar
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