Boundary Behavior of Berezin Symbols and Related Results

被引：4

作者：

Garayev, Mubariz T. ^{[1
]}

Gurdal, Mehmet ^{[2
]}

Yamanci, Ulas ^{[3
]}

Halouani, Borhen ^{[1
]}

机构：

[1] King Saud Univ, Coll Sci, Dept Math, POB 2455, Riyadh 11451, Saudi Arabia

[2] Suleyman Demirel Univ, Fac Arts & Sci, Dept Math, Isparta, Turkey

[3] Suleyman Demirel Univ, Fac Arts & Sci, Dept Stat, Isparta, Turkey

来源：

FILOMAT | 2019年 / 33卷 / 14期

关键词：

Blaschke sequence; Berezin symbol; Compact operator; Truncated Toeplitz operator; Trace; NUMBER INEQUALITIES;

D O I：

10.2298/FIL1914433G

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a given function phi is an element of H-infinity with vertical bar phi(z)vertical bar < 1 (z is an element of 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.

引用

页码：4433 / 4439

页数：7

共 13 条

[1] Berezin number inequalities for operators [J].

Bakherad, Mojtaba ;

Garayev, Mubariz T. .

CONCRETE OPERATORS, 2019, 6 (01) :33-43

[2] SOME BEREZIN NUMBER INEQUALITIES FOR OPERATOR MATRICES [J].

Bakherad, Mojtaba .

CZECHOSLOVAK MATHEMATICAL JOURNAL, 2018, 68 (04) :997-1009

[3] ASYMPTOTIC TOEPLITZ-OPERATORS [J].

BARRIA, J ;

HALMOS, PR .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1982, 273 (02) :621-630

[4]

Brown A., 1963, J REINE ANGEW MATH, V213, P89

[5]

FEINTUCH A, 1989, OPER THEOR, V41, P241

[6]

Karaev M.T., 2005, Complex Variables: Theory and Applications, V50, P185

[7]

Karaev M.T., 2012, Extracta Math., V25, P83

[8] Berezin symbols and Schatten-von Neumann classes [J].

Karaev, MT .

MATHEMATICAL NOTES, 2002, 72 (1-2) :185-192

[9] SOME RESULTS RELATED WITH BEREZIN SYMBOLS AND TOEPLITZ OPERATORS [J].

Karaev, Mubariz T. ;

Gurdal, Mehmet ;

Yamanci, Ulas .

MATHEMATICAL INEQUALITIES & APPLICATIONS, 2014, 17 (03) :1031-1045

[10]

Karaev MT, 2013, BANACH J MATH ANAL, V7, P74

← 1 2 →