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 ...
Stout, E. L.
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Asymptotic first boundary value problem for holomorphic functions of several complex variables [PDF]
Canadian Mathematical Bulletin, 2021 In 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 ${\mathbb T}$ .
Paul M. Gauthier, Mohammad Shirazi
semanticscholar +9 more sources
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.
Edyta Trybucka
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Some Results of Fekete-Szegö Type. Results for Some Holomorphic Functions of Several Complex Variables [PDF]
Symmetry, 2020 This paper is devoted to a generalization of the well-known Fekete-Szegö type coefficients problem for holomorphic functions of a complex variable onto holomorphic functions of several variables.
Renata Długosz, Piotr Liczberski
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New properties of some families of holomorphic functions of several complex variables [PDF]
Demonstratio Mathematica, 2009 The paper concerns holomorphic functions in complete bounded n-circular domains of the space ℂn and presents some properties of the above mentioned functions belonging to the families described by some geometrical or analytical conditions.
Edyta Leś-Bomba, Piotr Liczberski
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A Removability Result for Holomorphic Functions of Several Complex Variables
Journal of Basic & Applied Sciences, 2016 Suppose that I© is a domain of C n , n ≥1 , E âS‚I© closed in I© , the Hausdorff measure H 2 n -1 (E) = 0 , and AE’ is holomorphic in I©\ E .
Juhani Riihentaus
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Some criteria of boundedness of the L-index in direction for slice holomorphic functions of several complex variables [PDF]
Ukrainian Mathematical Bulletin, 2019 We investigate the slice holomorphic functions of several complex variables that have a bounded \(L\)-index in some direction and are entire on every slice \(\{z^0+t\mathbf{b}: t\in\mathbb{C}\}\) for every \(z^0\in\mathbb{C}^n\) and for a given direction \(\mathbf{b}\in\mathbb{C}^n\setminus\{\mathbf{0}\}\).
Andriy Bandura, О. Б. Скасків
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Journal of the Korean Mathematical Society, 2016 . In this paper, we investigate a family of holomorphic functions in several complex variables concerning the total derivative (or called radial derivative), and obtain some well-known normality criteria such as the Miranda’s theorem, the Marty’s theorem
Tingbin Cao, Zhixue Liu
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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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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.
Yasuo Iida
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