Differences of weighted composition operators between the Fock spaces

被引:10
作者
Pham Trong Tien [1 ]
Khoi, Le Hai [2 ]
机构
[1] Hanoi Univ Sci, Dept Math Mech & Informat, VNU, 334 Nguyen Trai, Hanoi, Vietnam
[2] Nanyang Technol Univ, Sch Phys & Math Sci, Div Math Sci, Singapore 637371, Singapore
来源
MONATSHEFTE FUR MATHEMATIK | 2019年 / 188卷 / 01期
关键词
Fock space; Weighted composition operator; Essential norm; Differences; COMPACT DIFFERENCES; BLOCH SPACE;
D O I
10.1007/s00605-018-1179-6
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study some important topological properties such as boundedness, compactness and essential norm of differences of weighted composition operators between Fock spaces.
引用
收藏
页码:183 / 193
页数:11
相关论文
共 16 条
[1]  
Carswell B. J., 2003, Acta Sci. Math. (Szeged), V69, P871
[2]   Linear sums of two composition operators on the Fock space [J].
Choe, Boo Rim ;
Izuchi, Kou Hei ;
Koo, Hyungwoon .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 369 (01) :112-119
[3]  
Cowen CC, 1995, STUDIES ADV MATH
[4]   Essential norms of differences of composition operators on H∞ [J].
Hosokawa, T ;
Izuchi, K .
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2005, 57 (03) :669-690
[5]  
Hosokawa T, 2007, J OPERAT THEOR, V57, P229
[6]   DIFFERENCES OF WEIGHTED COMPOSITION OPERATORS ACTING FROM BLOCH SPACE TO H∞ [J].
Hosokawa, Takuya ;
Ohno, Shuichi .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2011, 363 (10) :5321-5340
[7]   Differences of Weighted Composition Operators on the Bloch Spaces [J].
Hosokawa, Takuya .
COMPLEX ANALYSIS AND OPERATOR THEORY, 2009, 3 (04) :847-866
[8]   Normal and isometric weighted composition operators on the Fock space [J].
Le, Trieu .
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2014, 46 :847-856
[9]   Compact Differences of Weighted Composition Operators on Weighted Banach Spaces of Analytic Functions [J].
Manhas, J. S. .
INTEGRAL EQUATIONS AND OPERATOR THEORY, 2008, 62 (03) :419-428
[10]   Compact differences of composition operators [J].
Moorhouse, J .
JOURNAL OF FUNCTIONAL ANALYSIS, 2005, 219 (01) :70-92