Open AccessBoundary behavior of Berezin symbols and related results
Author(s) -
T Mubariz Garayev,
Mehmet Gürdal,
Ulaş Yamancı,
Borhen Halouani
Publication year - 2019
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1914433g
Subject(s) - mathematics , boundary (topology) , subspace topology , pure mathematics , mathematical analysis , trace (psycholinguistics) , toeplitz matrix , operator (biology) , unit sphere , function (biology) , philosophy , linguistics , biochemistry , chemistry , repressor , evolutionary biology , biology , transcription factor , gene
For a given function ? ? H? with |?(z)| < 1 (z ? D), we associate some special operators subspace and study some properties of these operators including behavior of their Berezin symbols. It turns that such boundary behavior is closely related to the Blaschke condition of sequences in the unit disk D of the complex plane. In terms of Berezin symbols the trace of some nuclear truncated Toeplitz operator is also calculated.