Boundedness of the Hilbert transform in Lorentz spaces and applications to operator ideals

被引：0
|
作者：
Tulenov, K. S. [1 ,2 ]
机构：
[1] Al Farabi Kazakh Natl Univ, Alma Ata 050040, Kazakhstan
[2] Inst Math & Math Modeling, Alma Ata 050010, Kazakhstan
来源：
QUAESTIONES MATHEMATICAE | 2023年 / 46卷 / 04期
关键词：
Primary; Secondary; Optimal range; Hilbert transform; triangular truncation operator; Calderon operator; Lorentz space; Schatten-Lorentz ideal; SOBOLEV IMBEDDINGS; RANGE; COMMUTATOR; LIPSCHITZ;
D O I：
10.2989/16073606.2022.2043481
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, it is investigated the optimal range of the classical Hilbert transform in Lorentz spaces of functions and its non-commutative counterparts including a triangular truncation operator in Schatten-Lorentz ideals. Some applications of obtained results to operator Lipschitz functions and commutator estimates in Schatten-Lorentz ideals of compact operators are presented.
引用
收藏
页码：813 / 831
页数：19
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