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Bounded evaluation operators from H-p into l(q)
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Publication details
| Journal | Studia mathematica |
|---|---|
| Date | Published - 2007 |
| Issue number | 1 |
| Volume | 179 |
| Number of pages | 6 |
| Pages (from-to) | 16 |
| Original language | English |
Abstract
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.
- Hardy space, uniformly discrete sequence, uniformly separated sequence, Bergman space, INTERPOLATION SEQUENCES, ANALYTIC FUNCTIONS, CARLESON
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