Sampling Measure on Doubling Fock Spaces

被引：0
|
作者：
Zhuo, Zhengyuan [1 ]
Lou, Zengjian [2 ]
机构：
[1] Guangdong Polytech Normal Univ, Sch Math & Syst Sci, Guangzhou 510665, Peoples R China
[2] Shantou Univ, Dept Math, Shantou 515063, Guangdong, Peoples R China
来源：
JOURNAL OF GEOMETRIC ANALYSIS | 2023年 / 33卷 / 10期
关键词：
Fock spaces; Doubling condition; Sampling measure; Reverse Fock-Carleson measure; Berezin transform; REVERSE CARLESON MEASURES; TOEPLITZ-OPERATORS; DENSITY THEOREMS; BERGMAN SPACES; INTERPOLATION; INEQUALITIES; SEQUENCES; DUALITY;
D O I：
10.1007/s12220-023-01380-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We completely characterize the sampling measures mu for a family of Fock space F-phi(p) (0 < p < infinity) induced by a non-radial doubling weight by refining (mu) over cap (r) and related dominating sets. Using this characterization, we illustrate the reason why (mu) over cap, 1/(mu) over capr is an element of L-infinity or (mu) over tilde, 1/(mu) over tilde is an element of L-infinity does not make mu be sampling measures on Fock spaces.
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页数：18
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