Compact vectorial Toeplitz operators on the Segal-Bargmann space

Tomasz Beberok , Piotr Budzyński , Dong-O Kang

Abstract

We provide a sufficient condition for the compactness of a Toeplitz operator acting on the Segal-Bargmann space of vector-valued functions written in terms of an associated operator-valued kernel.
Author Tomasz Beberok (FoEEaLS / DoAM)
Tomasz Beberok,,
- Department of Applied Mathematics
, Piotr Budzyński (FoEEaLS / DoAM)
Piotr Budzyński,,
- Department of Applied Mathematics
, Dong-O Kang
Dong-O Kang,,
-
Journal seriesJournal of Mathematical Analysis and Applications, ISSN 0022-247X, e-ISSN 1096-0813, (N/A 70 pkt)
Issue year2020
Vol481
No2
Pages1-13
Publication size in sheets0.6
Article number123460
Keywords in EnglishCompact operator, Toeplitz operator, Segal-Bargmann space, Integral operator, Vector-valued function, Operator-valued kernel
ASJC Classification2603 Analysis; 2604 Applied Mathematics
DOIDOI:10.1016/j.jmaa.2019.123460
URL https://www.sciencedirect.com/science/article/pii/S0022247X19307280/pdfft?md5=46a590d5771adc7a635e94fde335132c&pid=1-s2.0-S0022247X19307280-main.pdf
Languageen angielski
Score (nominal)70
Score sourcejournalList
Publication indicators WoS Citations = 0; Scopus SNIP (Source Normalised Impact per Paper): 2018 = 1.187; WoS Impact Factor: 2018 = 1.188 (2) - 2018=1.219 (5)
Citation count*
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FinansowanieThe first author was supported by the Opus grant no. 2017/25/B/ST1/00906 financed by the National Science Centre, Poland. The second author was supported by the SONATA BIS grant no. 2017/26/E/ST1/00723 financed by the National Science Centre, Poland. The third named author was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2015R1C1A1A01053837).
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.
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