Lp-boundedness of pseudo-differential operators on homogeneous trees

被引：1
|
作者：
Rana, Tapendu [1 ]
Rano, Sumit Kumar [2 ]
机构：
[1] Indian Inst Technol, Dept Math, Mumbai 400076, Maharashtra, India
[2] Indian Stat Inst, Stat Math Unit, Kolkata 700108, India
来源：
STUDIA MATHEMATICA | 2023年 / 272卷 / 03期
关键词：
pseudo-differential operator; homogeneous tree; harmonic analysis; MULTIPLIERS; SPACES;
D O I：
10.4064/sm220816-27-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this article is to study the L'-boundedness of pseudo -differential operators on a homogeneous tree X. For p is an element of (1, 2), we establish a connection between the L'-boundedness of the pseudo-differential operators on X and that on the group of integers Z. We also prove an analogue of the Calderon-Vaillancourt theorem in the setting of homogeneous trees for p is an element of (1, infinity) \ {2}.
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页码：221 / 244
页数：24
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