Journal article
MID and subnormal safe quotients for geometrically regular weighted shifts
Journal of mathematical analysis and applications, Vol.538(2), 128443
10/15/2024
DOI: 10.1016/j.jmaa.2024.128443
Abstract
Geometrically regular weighted shifts (in short, GRWS) are those with weights alpha(N, D) given by alpha(n)(N, D) = root p(n)+D/p(n)+D, where p > 1 and (N, D) is fixed in the open unit square (-1, 1) x (-1, 1). We study here the zone of pairs (M, P) for which the weight alpha(N,D)/alpha(M,P ) gives rise to a moment infinitely divisible (MID) or a subnormal weighted shift, and deduce immediately the analogous results for product weights alpha(N, D)alpha(M, P), instead of quotients. Useful tools introduced for this study are a pair of partial orders on the GRWS. (c) 2024 Elsevier Inc .All rights reserved.
Details
- Title: Subtitle
- MID and subnormal safe quotients for geometrically regular weighted shifts
- Creators
- Chafiq Benhida - Univ Sci & Technol Lille, UFR Math, F-59655 Villeneuve Dascq, FranceRaul E. Curto - Univ Iowa, Dept Math, Iowa City, IA 52242 USAGeorge R. Exner - Bucknell University
- Resource Type
- Journal article
- Publication Details
- Journal of mathematical analysis and applications, Vol.538(2), 128443
- Publisher
- Elsevier
- DOI
- 10.1016/j.jmaa.2024.128443
- ISSN
- 0022-247X
- eISSN
- 1096-0813
- Number of pages
- 25
- Grant note
- DMS-2247167 / NSF; National Science Foundation (NSF)
- Language
- English
- Date published
- 10/15/2024
- Academic Unit
- Mathematics
- Record Identifier
- 9984649046302771
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