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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
doaj   +1 more source

Bolzano's Theorem in Several Complex Variables [PDF]

Proceedings of the American Mathematical Society, 1980
Let Ω \Omega be a bounded domain in
openaire   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

The star function for meromorphic functions of several complex variables [PDF]

, 2019
We define an analogue of the Baernstein star function for a meromorphic function f in several complex variables. This function is subharmonic on the upper half-plane and encodes some of the main functionals attached to f. We then characterize meromorphic
Abi-Khuzam, Faruk F., Della Sala, Giuseppe, Bertrand, Florian   +2 more
core   +1 more source

The Bohr inequality for holomorphic mappings with lacunary series in several complex variables

, 2020
In this paper, we first give the Bohr inequality of norm type for holomorphic mappings with lacunary series on the unit polydisk in C n under some restricted conditions.
Xiaosong Liu, Tai-Shun Liu
semanticscholar   +1 more source

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
doaj   +1 more source

A new version of the second main theorem for meromorphic mappings intersecting hyperplanes in several complex variables [PDF]

, 2016
Let c ∈ C m , f : C m → P n ( C ) be a linearly nondegenerate meromorphic mapping over the field P c of c-periodic meromorphic functions in C m , and let H j ( 1 ≤ j ≤ q ) be q ( > 2 N − n + 1 ) hyperplanes in N-subgeneral position of P n ( C ) .
T. Cao, R. Korhonen
semanticscholar   +1 more source

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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