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A closer look at a Poisson-like condition on the Drury-Arveson space.
- Source :
-
Proceedings of the American Mathematical Society . Jun2020, Vol. 148 Issue 6, p2497-2507. 11p. - Publication Year :
- 2020
-
Abstract
- Let M be the collection of the multipliers of the Drury-Arveson space H2n, n ≥ 2. In a recent paper [Adv. Math. 335 (2018), pp. 372-404], Aleman et al. showed that for ƒ ∈ H2n, the condition sup|z|<1 Re(ƒ,K_zƒ) < ∞ is sufficient for the membership ƒ ∈ M. We show that this condition is not necessary for ƒ ∈ M. Moreover, we show that the condition sup|z|<1 Re(ƒ,Kzƒ) < ∞ only captures a nowhere dense subset of M. [ABSTRACT FROM AUTHOR]
- Subjects :
- *SPACE
*MATHEMATICS
*COLLECTIONS
Subjects
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 148
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 142540093
- Full Text :
- https://doi.org/10.1090/proc/14923