Authors: Chang, Der Chen
Stević, Stevo 
Title: Estimates of an integral operator on function spaces
Journal: Taiwanese Journal of Mathematics
Volume: 7
Issue: 3
First page: 423
Last page: 432
Issue Date: 1-Jan-2003
Rank: M23
ISSN: 1027-5487
DOI: 10.11650/twjm/1500558395
Abstract: 
In this paper, we shall study the family of operators of the form T ḡ(f)(z) = ∫0z1 ⋯ ∫0zn, f(ζ1, ⋯, ζ n) ∏g′j(ζj)dζj on Hardy Hp(Dn), the generalized weighted Bergman A μp,q(Dn), p ∈ (0, ∞), and α-Bloch Bα(Dn) spaces on the polydisk D n = {(z1,...,zn) ∈Cn: |Z j| < 1, j = 1,...,n}.
Keywords: Analytic function | Bergman space | Bloch space | Hardy space | Integral operator | Polydisk
Publisher: Mathematical Society of the Republic of China

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