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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