On trace ideal weighted composition operators on weighted Fock spaces

被引:2
|
作者
Mengestie, Tesfa [1 ]
机构
[1] Stord Haugesund Univ Coll HSH, Dept Math Sci, N-5414 Stord, Norway
关键词
Fock-Sobolev spaces; Weighted Fock spaces; Weighted composition operator; Schatten class membership;
D O I
10.1007/s00013-015-0827-5
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We recently described the Schatten class membership of weighted composition operators on Fock-Sobolev spaces and a large class of weighted Fock spaces, where the weights defining such spaces are radial and satisfy a certain mild smoothness condition, in terms of a simple L (p) integrability condition whenever p >= 2. We continue that line of research to extend and complete the gap when 0 < p < 2.
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页码:453 / 459
页数:7
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