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Properties of composite positive continuous functions in $\mathbb{C}^n$

Karpatsʹkì Matematičnì Publìkacìï, 2015
The properties of positive continuous functions with $Q^n_{\mathbf{b}}$ and $Q$ are investigated. We prove that some composite functions with $Q$ belong to class $Q^n_{\mathbf{b}}.$ A relation between functions with these classes are established.
A.I. Bandura
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Cauchy-type integrals in several complex variables [PDF]

, 2013
We present the theory of Cauchy-Fantappi\'e integral operators, with emphasis on the situation when the domain of integration, $D$, has minimal boundary regularity.
Lanzani, Loredana, Stein, Elias M.
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Harmonic Analysis Techniques in Several Complex Variables

Bruno Pini Mathematical Analysis Seminar, 2014
We give a survey of recent joint work with E.M. Stein (Princeton University) concerning the application of suitable versions of the T(1)-theorem technique to the study of orthogonal projections onto the Hardy and Bergman spaces of holomorphic functions ...
Loredana Lanzani
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Parametric formal Gevrey asymptotic expansions in two complex time variable problems [PDF]

Opuscula Mathematica
The analytic and formal solutions to a family of singularly perturbed partial differential equations in the complex domain involving two complex time variables are considered.
Guoting Chen, Alberto Lastra, Stéphane Malek   +2 more
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On the domains of convergence of the branched continued fraction expansion of ratio $H_4(a,d+1;c,d;\mathbf{z})/H_4(a,d+2;c,d+1;\mathbf{z})$

Researches in Mathematics, 2023
The paper considers the problem of establishing the convergence criteria of the branched continued fraction expansion of the ratio of Horn's hypergeometric functions $H_4$. To solve it, the technique of expanding the domain of convergence of the branched
R.I. Dmytryshyn, I.-A.V. Lutsiv, O.S. Bodnar   +2 more
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On groups of formal diffeomorphisms of several complex variables

Anais da Academia Brasileira de Ciências, 2012
In this note we announce some results in the study of groups of formal or germs of analytic diffeomorphisms in several complex variables. Such groups are related to the study of the transverse structure and dynamics of Holomorphic foliations, via the ...
Mitchael Martelo, Bruno Scárdua
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The study of solutions for several systems of PDDEs with two complex variables

Demonstratio Mathematica, 2023
The purpose of this article is to describe the properties of the pair of solutions of several systems of Fermat-type partial differential difference equations.
Xu Yi Hui, Liu Xiao Lan, Xu Hong Yan
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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 ...
Kamthorn Chailuek,, Vansak Sam,
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Duality of Large Fock Spaces in Several Complex Variables and Compact Localization Operators

Journal of Function Spaces, 2021
In this paper, dual spaces of large Fock spaces Fϕp with ...
Youqi Liu, Xiaofeng Wang
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Degeneracy and finiteness theorems for meromorphic mappings in several complex variables [PDF]

, 2017
In this article, we prove that there are at most two meromorphic mappings of $\mathbb C^m$ into $\mathbb P^n(\mathbb C)\ (n\geqslant 2)$ sharing $2n+2$ hyperplanes in general position regardless of multiplicity, where all zeros with multiplicities more ...
Quang, Si Duc
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