Regularity of extremal functions in weighted Bergman and Fock type spaces
نویسندگان
چکیده
منابع مشابه
Zeros of Extremal Functions in Weighted Bergman Spaces
For −1 < α ≤ 0 and 0 < p < ∞, the solutions of certain extremal problems are known to act as contractive zerodivisors in the weighted Bergman space Aα. We show that for 0 < α ≤ 1 and 0 < p < ∞, the analogous extremal functions do not have any extra zeros in the unit disk and, hence, have the potential to act as zero-divisors. As a corollary, we find that certain families of hypergeometric funct...
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Let ϕ be a real-valued plurisubharmonic function on [Formula: see text] whose complex Hessian has uniformly comparable eigenvalues, and let [Formula: see text] be the Fock space induced by ϕ. In this paper, we conclude that the Bergman projection is bounded from the pth Lebesgue space [Formula: see text] to [Formula: see text] for [Formula: see text]. As a remark, we claim that Bergman projecti...
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 2019
ISSN: 0035-7596
DOI: 10.1216/rmj-2019-49-1-47