Results 111 to 120 of about 1,404 (243)

A problem on spaces of holomorphic maps and the geometry of image domains

open access: yesConcrete Operators
We present an old problem in Geometric Function Theory: characterizing the domains Ω⊂C ${\Omega}\subset \mathbb{C}$ for which every holomorphic map from the unit disk into Ω must belong to a specific function space X.
Cruz-Zamorano Francisco J.
doaj   +1 more source

3-Complex Symmetric and Complex Normal Weighted Composition Operators on the Weighted Bergman Spaces of the Half-Plane

open access: yesMathematics
One of the aims of this paper is to characterize 3-complex symmetric weighted composition operators induced by three types of symbols on the weighted Bergman space of the right half-plane with the conjugation Jf(z)=f(z¯)¯.
Zhi-Jie Jiang
doaj   +1 more source

Hankel Operators on Bergman Spaces with Change of Weight.

open access: yesMATHEMATICA SCANDINAVICA, 1992
Let \(A\) be the weighted Bergman space of analytic functions in \(L^ 2(\Omega, \mu)\), where \(\Omega\) is an open set in \(\mathbb{C}^ n\), and \(\mu\) is a suitable measure on \(\Omega\). Let \(f\) be a measurable function on \(\Omega\). The big Hankel operator \(H_ f\) is defined for \(g\in A\) via \(H_ f(g)= (1-P)(fg)\), where \(P\) is the ...
openaire   +2 more sources

Toeplitz Operators with Radial Symbols on Weighted Pluriharmonic Bergman Spaces over Reinhardt Domains

open access: yesAxioms
In this paper, we design an operator A restricted to a weighted pluriharmonic Bergman space bμ2(Ω) over the Reinhardt domains, with an isometric isomorphism between bμ2(Ω) and the subset of l2(Zn).
Zhi-Ling Sun, Feng Qi, Wei-Shih Du
doaj   +1 more source

Asymptotic Growth of Moduli of m-th Derivatives of Algebraic Polynomials in Weighted Bergman Spaces on Regions Without Zero Angles

open access: yesAxioms
In this paper, we study asymptotic bounds on the m-th derivatives of general algebraic polynomials in weighted Bergman spaces. We consider regions in the complex plane defined by bounded, piecewise, asymptotically conformal curves with strictly positive ...
Uğur Değer   +2 more
doaj   +1 more source

Home - About - Disclaimer - Privacy