Pointwise multiplication operators with closed range on the Bergman spaces Lap, H∞ and weighted Banach spaces

被引：0
作者：
Yoneda, Rikio [1 ]
机构：
[1] Kanazawa Univ, Inst Human & Social Sci, Fac Teacher Educ, Kanazawa, Japan
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2025年
关键词：
Multiplication operator; bergman space; H infinity; closed range; bounded below; HARDY SPACE; BLOCH; BOUNDEDNESS;
D O I：
10.1080/17476933.2024.2441324
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the relation between multiplication operators M-g with closed range on Lpa and M-g with closed range on H infinity. Let p>0. For 0<alpha<1, suppose g is an element of B alpha. Then the following are equivalent. M-g:Lap -> LPA is bounded below. M-g:H infinity -> H infinity is bounded below. lim inf(z ->partial derivative D)|g(z)|>0.
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页数：11
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