Results 11 to 20 of about 89,211 (190)

On an Integral-Type Operator Acting between Bloch-Type Spaces on the Unit Ball

open access: yesAbstract and Applied Analysis, 2010
Let 𝔹 denote the open unit ball of ℂn. For a holomorphic self-map φ of 𝔹 and a holomorphic function g in 𝔹 with g(0)=0, we define the following integral-type operator: Iφgf(z)=∫01ℜf(φ(tz))g(tz)(dt/t), z∈𝔹.
Stevo Stević, Sei-Ichiro Ueki
doaj   +1 more source

Aspects of non-commutative function theory

open access: yesConcrete Operators, 2016
We discuss non commutative functions, which naturally arise when dealing with functions of more than one matrix variable.
Agler Jim, McCarthy John E.
doaj   +1 more source

Explicit black hole thermodynamics in natural variables

open access: yesJournal of High Energy Physics, 2023
We consider the general thermal asymptotically flat Kerr-Newman black holes in 4d Einstein-Maxwell theory. Even though their thermodynamics has been understood for decades, the Gibbs free energy and on-shell action are only known implicitly as functions ...
Kiril Hristov
doaj   +1 more source

Holomorphic extension of the de Gennes function [PDF]

open access: yes, 2016
This note is devoted to prove that the de Gennes function has a holomorphic extension on a strip containing the real ...
Bonnaillie-Noël, Virginie   +2 more
core   +5 more sources

Upper and Lower Bounds for Essential Norm of Weighted Composition Operators from Bergman Spaces with Békollé Weights

open access: yesJournal of Function Spaces, 2020
Let σ be a weight function such that σ/1−z2α is in the class Bp0α of Békollé weights, μ a normal weight function, ψ a holomorphic map on D, and φ a holomorphic self-map on D.
Elina Subhadarsini, Ajay K. Sharma
doaj   +1 more source

Note on boundedness of the $L$-index in the direction of the composition of slice entire functions

open access: yesМатематичні Студії, 2022
We study a composition of two functions belonging to a class of slice holomorphic functions in the whole $n$-dimensional complex space. The slice holomorphy in the space means that for some fixed direction $\mathbf{b}\in\mathbb{C}^n\setminus\{\mathbf{0}\
V. P. Baksa   +3 more
doaj   +1 more source

Domain Identification for Inverse Problem via Conformal Mapping and Fixed Point Methods in Two Dimensions

open access: yesAbstract and Applied Analysis, 2020
In this paper, we present a survey of the inverse eigenvalue problem for a Laplacian equation based on available Cauchy data on a known part Γ0 and a homogeneous Dirichlet condition on an unknown part Γ0 of the boundary of a bounded domain, Ω⊂ℝN.
Fagueye Ndiaye
doaj   +1 more source

Weighted Composition Operators from H∞ to the Bloch Space on the Polydisc

open access: yesAbstract and Applied Analysis, 2007
Let Dn be the unit polydisc of ℂn, ϕ(z)=(ϕ1(z),…,ϕn(z)) be a holomorphic self-map of Dn, and ψ(z) a holomorphic function on Dn. Let H(Dn) denote the space of all holomorphic functions with domain Dn, H∞(Dn) the space of all bounded holomorphic functions ...
Songxiao Li, Stevo Stevic
doaj   +1 more source

Third Hankel Determinant for a Subfamily of Holomorphic Functions Related with Lemniscate of Bernoulli

open access: yesMathematics, 2023
The main goal of this investigation is to obtain sharp upper bounds for Fekete-Szegö functional and the third Hankel determinant for a certain subclass SL∗u,v,α of holomorphic functions defined by the Carlson-Shaffer operator in the unit disk.
Halit Orhan   +2 more
doaj   +1 more source

Functional equation of a special Dirichlet series

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1987
In this paper we study the special Dirichlet series L(s)=23∑n=1∞sin(2πn3)n−s,  s∈C This series converges uniformly in the half-plane Re(s)>1 and thus represents a holomorphic function there.
Ibrahim A. Abou-Tair
doaj   +1 more source

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