Results 21 to 30 of about 18,079 (220)
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
doaj +1 more source
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 +2 more
doaj +1 more source
Bergman projections on weighted Fock spaces in several complex variables
Journal of Inequalities and Applications, 2017 Let ϕ be a real-valued plurisubharmonic function on C n ${\mathbb {C}}^{n}$ whose complex Hessian has uniformly comparable eigenvalues, and let F p ( ϕ ) $\mathcal{F}^{p}(\phi)$ be the Fock space induced by ϕ.
Xiaofen Lv
doaj +1 more source
Weighted Sub-Bergman Hilbert spaces in the unit ball of ℂn
Concrete Operators, 2020 In this note, we study defect operators in the case of holomorphic functions of the unit ball of ℂn. These operators are built from weighted Bergman kernel with a holomorphic vector.
Rososzczuk Renata, Symesak Frédéric
doaj +1 more source
Bergman kernels and symplectic reduction [PDF]
, 2005 We generalize several recent results concerning the asymptotic expansions of Bergman kernels to the framework of geometric quantization and establish an asymptotic symplectic identification property.
Ma, Xiaonan, Zhang, Weiping
core +5 more sources
On weights which admit the reproducing kernel of Bergman type
International Journal of Mathematics and Mathematical Sciences, 1992 In this paper we consider (1) the weights of integration for which the reproducing kernel of the Bergman type can be defined, i.e., the admissible weights, and (2) the kernels defined by such weights.
Zbigniew Pasternak-Winiarski
doaj +1 more source
Reproducing Kernels of Weight Square-Summable Sequences Hilbert Spaces
Annales Mathematicae Silesianae, 2019 In this paper we will introduce the concept of weighted reproducing kernel of l2(ℂ) space, in similiar way as it is done in case of weighted reproducing kernel of Bergman space.
Żynda Tomasz Łukasz
doaj +1 more source
On Weights Which Admit Harmonic Bergman Kernel and Minimal Solutions of Laplace’s Equation
Annales Mathematicae Silesianae, 2022 In this paper we consider spaces of weight square-integrable and harmonic functions L2H(Ω, µ). Weights µ for which there exists reproducing kernel of L2H(Ω, µ) are named ’admissible weights’ and such kernels are named ’harmonic Bergman kernels’. We prove
Żynda Tomasz Łukasz
doaj +1 more source
The Bergman Kernel on some Hartogs domains [PDF]
The Journal of Geometric Analysis, 2015 We obtain new explicit formulas for the Bergman kernel function on two families of Hartogs domains. To do so, we first compute the Bergman kernels on the slices of these Hartogs domains with some coordinates fixed, evaluate these kernel functions at certain points off the diagonal, and then apply a first order differential operator to them.
Zhenghui Huo
openalex +4 more sources
The Bergman kernels of generalized Bergman–Hartogs domains
Journal of Mathematical Analysis and Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hao, Yihong, Wang, An
openaire +2 more sources