منابع مشابه
The Bergman Kernel Function
In this note, we point out that a large family of n × n matrix valued kernel functions defined on the unit disc D ⊆ C, which were constructed recently in [9], behave like the familiar Bergman kernel function on D in several different ways. We show that a number of questions involving the multiplication operator on the corresponding Hilbert space of holomorphic functions on D can be answered usi...
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Let $varphi(z)=z^m, z in mathbb{U}$, for some positive integer $m$, and $C_varphi$ be the composition operator on the Bergman space $mathcal{A}^2$ induced by $varphi$. In this article, we completely determine the point spectrum, spectrum, essential spectrum, and essential norm of the operators $C^*_varphi C_varphi, C_varphi C^*_varphi$ as well as self-commutator and anti-self-commutators of $C_...
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We study the asymptotic of the Bergman kernel of the spin Dirac operator on high tensor powers of a line bundle.
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Let (L, h) → (X,ω) be a compact toric polarized Kähler manifold of complex dimension n. For each k ∈ N, the fibre-wise Hermitian metric h on L induces a natural inner product on the vector space C∞(X,Lk) of smooth global sections of L by integration with respect to the volume form ω n n! . The orthogonal projection Pk : C∞(X,Lk) → H(X,L) onto the space H(X,L) of global holomorphic sections of L...
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In the paper Gaussian curvature of Bergman metric on the unit disc and the dependence of this curvature on the weight function has been studied.
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ژورنال
عنوان ژورنال: Michigan Mathematical Journal
سال: 1999
ISSN: 0026-2285
DOI: 10.1307/mmj/1030132358