On the L2 boundedness of pseudo-multipliers for Hermite expansions

被引：3
|
作者：
Ly, Fu Ken [1 ]
机构：
[1] Univ Sydney, Sch Math & Stat, Learning Hub, Sydney, NSW 2006, Australia
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2024年 / 286卷 / 02期
关键词：
Hermite operator; Calderon-Vaillancourt theorem; Pseudo-multiplier; Gaussian pseudo-differential; operator; SPACES;
D O I：
10.1016/j.jfa.2023.110220
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give various conditions for Hermite pseudo-multipliers to be bounded on L2(Rn). As a by-product we also give new results for pseudo-multipliers in the Gaussian measure setting. One of our key tools is a new integration by-parts formula for Hermite expansions. (c) 2023 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http:// creativecommons.org /licenses /by /4 .0/).
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页数：27
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