Research output: Contribution to journal › Article › peer-review
Journal | Studia mathematica |
---|---|
Date | Published - 2007 |
Issue number | 1 |
Volume | 179 |
Number of pages | 6 |
Pages (from-to) | 16 |
Original language | English |
Given 0 < p, q < infinity and any sequence Z = {z(n)} in the unit disc D, we define an operator from functions on D to sequences by T-zp(f) = {(1-vertical bar zn vertical bar(2))(1/p)f(z(n))}. Necessary and sufficient conditions on {z(n)} are given such that T.,p maps the Hardy space H-p boundedly into the sequence space l(q) . A corresponding result for Bergman spaces is also stated.
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