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A Landau’s theorem in several complex variables [PDF]
Annali di Matematica Pura ed Applicata (1923 -), 2016 In one complex variable, it is well known that if we consider the family of all holomorphic functions on the unit disc that fix the origin and with first derivative equal to 1 at the origin, then there exists a constant ρ\documentclass[12pt]{minimal ...
C. Bisi
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Random polynomials in several complex variables
Journal d'Analyse Mathématique, 2021 We generalize some previous results on random polynomials in several complex variables. A standard setting is to consider random polynomials $${H_n}(z): = \sum\nolimits_{j = 1}^{{m_n}} {{a_j}{p_j}} $$ H n ( z ) : = ∑ j = 1 m n a j p j that are linear ...
Turgay Bayraktar, T. Bloom, N. Levenberg
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On Polyanalytic Functions in Several Complex Variables
Complex Analysis and Operator Theory, 2023 We give a characterisation of the polyanalytic type subspaces of the Hilbert spaces H\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage ...
N. Vasilevski
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Bergman projections on weighted Fock spaces in several complex variables [PDF]
Journal of Inequalities and Applications, 2017 Let ϕ be a real-valued plurisubharmonic function on C n ${\mathbb {C}}^{n}$ whose complex Hessian has uniformly comparable eigenvalues, and let F p ( ϕ ) $\mathcal{F}^{p}(\phi)$ be the Fock space induced by ϕ.
Xiaofen Lv
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On functions of several complex variables [PDF]
Transactions of the American Mathematical Society, 1916 By means of certain very simple examples it is possible to decide a number of questions relating to analytic functions of several complex variables, which have hitherto, so far as the author is aware, remained open. It is unsatisfactory, in stating an important theorem, not to know whether a given hypothesis is needed merely for convenience of proof ...
W. F. Osgood
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On the Fekete and Szegö Problem for the Class of Starlike Mappings in Several Complex Variables
Abstract and Applied Analysis, 2014 Let S be the familiar class of normalized univalent functions in the unit disk. Fekete and Szegö proved the well-known result maxf∈Sa3-λa22=1+2e-2λ/(1-λ) for λ∈0, 1.
Qing-Hua Xu, Tai-Shun Liu
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Several Complex Variables [PDF]
, 1977 Contains sections on Non compact complex manifolds, Differential geometry and complex analysis, Problems in approximation, Value distribution theory, Group representation and harmonic analysis, and Survey papers.
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Extension of the Bessmertnyĭ Realization Theorem for Rational Functions of Several Complex Variables [PDF]
Complex Analysis and Operator Theory, 2020 We prove a realization theorem for rational functions of several complex variables which extends the main theorem of Bessmertnyĭ (in: Alpay, Gohberg, Vinnikov (eds) Interpolation Theory, Systems Theory and Related Topics.
Anthony Stefan, Aaron Welters
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Bitlyan-Gol'dberg type inequality for entire functions and diagonal maximal term
Математичні Студії, 2020 In the article is obtained an analogue of Wiman-Bitlyan-Gol'dberg type inequality for entire $f\colon\mathbb{C}^p\to \mathbb{C}$ from the class $\mathcal{E}^{p}(\lambda)$ of functions represented by gap power series of the form $$ f(z)=\sum\limits_{k=0}^{
A. O. Kuryliak +2 more
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Logarithmic difference lemma in several complex variables and partial difference equations [PDF]
Annali di Matematica Pura ed Applicata, 2018 In this paper, we mainly propose improvements of the logarithmic difference lemma for meromorphic functions in several complex variables and then investigate meromorphic solutions of partial difference equations from the viewpoint of Nevanlinna theory.
T. Cao, Ling Xu
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