BILINEAR LITTLEWOOD-PALEY FOR CIRCLE AND TRANSFERENCE

被引：4
作者：
Mohanty, Parasar [1 ]
Shrivastava, Saurabh [1 ]
机构：
[1] Indian Inst Technol, Dept Math & Stat, Kanpur 208016, Uttar Pradesh, India
来源：
PUBLICACIONS MATEMATIQUES | 2011年 / 55卷 / 02期
关键词：
Bilinear multipliers; Littlewood-Paley square functions; transference methods; MULTIPLIERS; TRANSFORM;
D O I：
10.5565/PUBLMAT_55211_11
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we have obtained the boundedness of bilinear Littlewood-Paley operators on the circle group T by using appropriate transference techniques. In particular, bilinear analogue of Carleson's Littlewood-Paley result for all possible indices has been obtained. Also, we prove some bilinear analogues of de Leeuw's results concerning multipliers of R(n).
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页码：501 / 519
页数：19
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