MULTI-PARAMETER EXTENSIONS OF A THEOREM OF PICHORIDES

被引：3
|
作者：
Bakas, Odysseas [1 ]
Rodriguez-Lopez, Salvador [1 ]
Sola, Alan A. [1 ]
机构：
[1] Stockholm Univ, Dept Math, S-10691 Stockholm, Sweden
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 147卷 / 03期
关键词：
Square function; Marcinkiewicz multipliers; L-p-estimates; CONSTANTS;
D O I：
10.1090/proc/14251
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Extending work of Pichorides and Zygmund to the d-dimensional setting, we show that the supremum of L-p-norms of the Littlewood-Paley square function over the unit ball of the analytic Hardy spaces H-A(p) (T-d) blows up like (p-1)(-d) as p -> 1(+). Furthermore, we obtain an Llog(d) L-estimate for square functions on H-A(1) (T-d). Euclidean variants of Pichorides' theorem are also obtained.
引用
收藏
页码：1081 / 1095
页数：15
相关论文
共 50 条
12345