The Commutators of Bochner-Riesz Operators for Hermite Operator

被引：1
|
作者：
Chen, Peng [1 ]
Lin, Xixi [1 ]
Yan, Lixin [1 ]
机构：
[1] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Peoples R China
来源：
JOURNAL OF GEOMETRIC ANALYSIS | 2023年 / 33卷 / 03期
基金：
澳大利亚研究理事会;
关键词：
Commutators; BMO; Bochner-Riesz means; Hermite operator; Spectral multipliers; SUMMABILITY; BOUNDS;
D O I：
10.1007/s12220-022-01137-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the Lp-boundedness of the commutator [b,S delta R(H)](f) = bS delta R(H)f-S delta R(H)(bf)of a BMO function band the Bochner-Riesz means S delta R(H) for Hermite operator H = -? + |x|2 on Rn, n >= 2. We show that if delta > delta(q) = n(1/q -1/2) -1/2, the commutator [b,S delta R(H)]is bounded on Lp(Rn) whenever q < p
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页数：19
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