Positive kernel functions and Bergman spaces
نویسندگان
چکیده
منابع مشابه
Zeros of random functions in Bergman spaces
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‎For a homogeneous spaces ‎$‎G/H‎$‎, we show that the convolution on $L^1(G/H)$ is the same as convolution on $L^1(K)$, where $G$ is semidirect product of a closed subgroup $H$ and a normal subgroup $K $ of ‎$‎G‎$‎. ‎Also we prove that there exists a one to one correspondence between nondegenerat $ast$-representations of $L^1(G/H)$ and representations of ...
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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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ژورنال
عنوان ژورنال: Tohoku Mathematical Journal
سال: 1988
ISSN: 0040-8735
DOI: 10.2748/tmj/1178227988