Results 1 to 10 of about 1,565 (216)

Composition-Differentiation Operator on the Bergman Space

Pan-American Journal of Mathematics, 2023
We investigate the properties of composition-differentiation operator Dψ on the Bergman space of the unit disk L2a(D). Specifically, we characterize the properties of the reproducing kernel for the derivatives of the Bergman space functions. Moreover, we
K. O. Aloo, J. O. Bonyo, I. Okello
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On new sharp embedding theorems for multifunctional Herz-type and Bergman-type spaces in tubular domains over symmetric cones

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2021
We introduce new multifunctional mixed norm analytic Herz-type spaces in tubular domains over symmetric cones and provide new sharp embedding theorems for them. Some results are new even in case of onefunctional holomorphic spaces. Some new related sharp
Shamoyan, R.F., Tomashevskaya, E.B.
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Bergman spaces with exponential type weights

Journal of Inequalities and Applications, 2021
For 1 ≤ p < ∞ $1\le ...
Hicham Arroussi
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The Maximum Locus of the Bloch Norm

Moroccan Journal of Pure and Applied Analysis, 2023
For a Bloch function f in the unit ball in ℂn, we study the maximal locus of the Bloch norm of f; namely, the set Lf where the Bergman length of the gradient vector field of f attains its maximum.
El Hassan Youssfi
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Reproducing Kernels for Hardy and Bergman Spaces of the Upper Half Plane

Communications in Advanced Mathematical Sciences, 2020
Using invertible isometries between Hardy and Bergman spaces of the unit disk $\D$ and the corresponding spaces of the upper half plane $\uP$, we determine explicitly the reproducing kernels for the Hardy and Bergman spaces of $\uP$. As a consequence, we
Job Bonyo
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The Zeros of the Bergman Kernel for Some Reinhardt Domains

Journal of Function Spaces, 2016
We consider the Reinhardt domain Dn={(ζ,z)∈C×Cn:|ζ ...
Jong-Do Park
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Boundary asymptotics of the relative Bergman kernel metric for hyperelliptic curves

Complex Manifolds, 2017
We survey variations of the Bergman kernel and their asymptotic behaviors at degeneration. For a Legendre family of elliptic curves, the curvature form of the relative Bergman kernel metric is equal to the Poincaré metric on ℂ \ {0,1}. The cases of other
Dong Robert Xin
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Representing Functions in H² on the Kepler Manifold via WPOAFD Based on the Rational Approximation of Holomorphic Functions

Mathematics, 2022
The central problem of this study is to represent any holomorphic and square integrable function on the Kepler manifold in the series form based on Fourier analysis.
Zeyuan Song, Zuoren Sun
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On Extremal Problems in Certain New Bergman Type Spaces in Some Bounded Domains in Cn

Journal of Function Spaces, 2014
Based on recent results on boundedness of Bergman projection with positive Bergman kernel in analytic spaces in various types of domains in Cn, we extend our previous sharp results on distances obtained for analytic Bergman type spaces in unit disk to ...
Romi F. Shamoyan, Olivera Mihić
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Weighted Bergman Kernels and Mathematical Physics

Axioms, 2020
We review several results in the theory of weighted Bergman kernels. Weighted Bergman kernels generalize ordinary Bergman kernels of domains Ω ⊂ C n but also appear locally in the attempt to quantize classical states of mechanical systems ...
Elisabetta Barletta, Sorin Dragomir, Francesco Esposito   +2 more
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