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

页码：1081 / 1095

页数：15

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