Results 1 to 10 of about 3,259,279 (281)

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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Hardy's Inequality for Functions of Several Complex Variables [PDF]

, 2017
We obtain a generalization of Hardy’s inequality for functions in the Hardy space H1 (Bd), where Bd is the unit ball {z = (z1, …, zd) ∈ In particular, we construct a function φ on the set of d –dimensional multi-indices {n = (n1, …, nd) | ni ∈ {0 ...
Vansak Sam, Kamthorn Chailuek
openalex   +3 more sources

Duality of Large Fock Spaces in Several Complex Variables and Compact Localization Operators [PDF]

Journal of Function Spaces, 2021
In this paper, dual spaces of large Fock spaces Fϕp with ...
Youqi Liu, Xiaofeng Wang
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Sampling of entire functions of several complex variables on a lattice and multivariate Gabor frames [PDF]

, 2019
We give a general construction of entire functions in $d$ complex variables that vanish on a lattice of the form $L = A (Z + i Z )^d$ for an invertible complex-valued matrix.
Karlheinz Gröchenig, Yurii Lyubarskii
openalex   +3 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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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

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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