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/).

引用

页数：27

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