Riemann-Stieltjes operators between different weighted Bergman spaces
نویسندگان
چکیده
منابع مشابه
Riemann-stieltjes Integral Operators between Weighted Bergman Spaces
This note completely describes the bounded or compact Riemann-Stieltjes integral operators T g acting between the weighted Bergman space pairs (A p α , A q β) in terms of particular regularities of the holomorphic symbols g on the open unit ball of C n .
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Let ρ : (0, 1] → R+ be a weight function and let X be a complex Banach space. We denote by A1,ρ(D) the space of analytic functions in the disc D such that ∫ D |f(z)|ρ(1 − |z|)dA(z) < ∞ and by Blochρ(X) the space of analytic functions in the disc D with values in X such that sup|z|<1 1−|z| ρ(1−|z|)‖F ′(z)‖ < ∞. We prove that, under certain assumptions on the weight, the space of bounded operator...
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ژورنال
عنوان ژورنال: Bulletin of the Belgian Mathematical Society - Simon Stevin
سال: 2008
ISSN: 1370-1444
DOI: 10.36045/bbms/1225893947