Results 1 to 10 of about 18,079 (220)

Uniform Extendibility of the Bergman Kernel for Generalized Minimal Balls [PDF]

Journal of Function Spaces, 2015
We consider a class of convex domains which contains non-Reinhardt domains with nonsmooth boundary. We show that the domains of this class satisfy the condition Q.
Jong-Do Park
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Weighted Bergman kernel functions associated to meromorphic functions [PDF]

, 2013
We present a technique for computing explicit, concrete formulas for the weighted Bergman kernel on a planar domain with weight the modulus squared of a meromorphic function in the case that the meromorphic function has a finite number of zeros on the ...
Jacobson, Robert
core   +3 more sources

Bergman kernel functions for planar domains and conformal equivalence of domains

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2008
The Bergman kernels of multiply connected domains are related with proper holomorphic maps onto the unit disc. We study multiply connected planar domains and represent conformal equivalence of the Bell representative domains with annuli or any doubly ...
Moonja Jeong
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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
doaj   +1 more source

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
doaj   +1 more source

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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Asymptotic expansion of the Bergman kernel for weakly pseudoconvex tube domains in C^2 [PDF]

, 1996
In this paper we give an asymptotic expansion of the Bergman kernel for certain weakly pseudoconvex tube domains of finite type in C^2. Our asymptotic formula asserts that the singularity of the Bergman kernel at weakly pseudoconvex points is essentially
Kamimoto, Joe
core   +5 more sources

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
doaj   +1 more source