Results 1 to 10 of about 3,149,967 (325)

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
doaj   +2 more sources

An independence result in several complex variables [PDF]

Proceedings of the American Mathematical Society, 1991
The assertion that there exists a complete set of biholomorphic invariants for simply connected domains in C 2 {\mathbb {C}^2} is proved to be independent of the axioms (ZFC) of set theory, give or take the Continuum Hypothesis.
László Lempert, Lee A. Rubel
openaire   +4 more sources

Random polynomials in several complex variables

Journal d'Analyse Mathématique, 2023
This replaces and improves a previous version which has a gap in the proof of the higher codimension case at the ...
Bayraktar, Turgay, Bloom, Thomas, Levenberg, Norman   +2 more
openaire   +4 more sources

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, O. B. Skaskiv, S. I. Panchuk   +2 more
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Toeplitz operators between large Fock spaces in several complex variables

AIMS Mathematics, 2022
Let $ \omega $ belong to the weight class $ \mathcal{W} $, the large Fock space $ \mathcal{F}_{\omega}^{p} $ consists of all holomorphic functions $ f $ on $ \mathbb{C}^{n} $ such that the function $ f(\cdot)\omega(\cdot)^{1/2} $ is in $ L^p(\mathbb{C ...
Ermin Wang, Jiajia Xu
doaj   +1 more source

L-Index in Joint Variables: Sum and Composition of an Entire Function with a Function With a Vanished Gradient

Fractal and Fractional, 2023
The composition H(z)=f(Φ(z)) is studied, where f is an entire function of a single complex variable and Φ is an entire function of n complex variables with a vanished gradient.
Andriy Bandura, Tetyana Salo, Oleh Skaskiv   +2 more
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Some Remarks Concerning Quasiconformal Extensions in Several Complex Variables

Journal of Inequalities and Applications, 2008
Let be the unit ball in with respect to the Euclidean norm. In this paper, we obtain a sufficient condition for a normalized quasiregular mapping to be extended to a quasiconformal homeomorphism of onto itself. In the last section we consider the
Kohr Gabriela, Curt Paula
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Hadamard compositions of Gelfond-Leont’ev-Sǎlǎgean and Gelfond-Leont’ev-Ruscheweyh derivatives of functions analytic in the unit disk

Математичні Студії, 2020
For analytic functions $$f(z)=z+\sum\limits_{k=2}^{\infty}f_kz^k \mbox{ and } g(z)=z+\sum\limits_{k=2}^{\infty}g_kz^k$$ in the unit disk properties of the Hadamard compositions $D^n_{l,[S]}f*D^n_{l,[S]}g$ and $D^n_{l,[R]}f*D^n_{l,[R]}g$ of their Gelfond ...
M.M. Sheremeta
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Representation of Some Ratios of Horn’s Hypergeometric Functions H₇ by Continued Fractions

Axioms, 2023
The paper deals with the problem of representation of Horn’s hypergeometric functions via continued fractions and branched continued fractions. We construct the formal continued fraction expansions for three ratios of Horn’s hypergeometric functions H7 ...
Tamara Antonova, Roman Dmytryshyn, Pavlo Kril, Serhii Sharyn   +3 more
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Removable sets for holomorphic functions of several complex variables [PDF]

, 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.
core   +4 more sources