The optimal range of the Calderon operator and its applications

被引：16

作者：

Sukochev, F. ^{[1
]}

Tulenov, K. ^{[2
,3
]}

Zanin, D. ^{[1
]}

机构：

[1] Univ New South Wales, Sch Math & Stat, Kensington, NSW 2052, Australia

[2] Al Farabi Kazakh Natl Univ, Alma Ata 050040, Kazakhstan

[3] Inst Math & Math Modeling, Alma Ata 050010, Kazakhstan

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2019年 / 277卷 / 10期

基金：

澳大利亚研究理事会;

关键词：

Symmetric function and operator spaces; (quasi-)Banach space; Hilbert transform; Triangular truncation operator; Optimal symmetric range; Sernifinite von Neumann algebra; LIPSCHITZ CONTINUITY; ABSOLUTE VALUE; SPACES; NORMS;

D O I：

10.1016/j.jfa.2019.05.012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We identify the optimal range of the Calderon operator and that of the classical Hilbert transform in the class of symmetric quasi-Banach spaces. Further consequences of our approach concern the optimal range of the triangular truncation operator, operator Lipschitz functions and commutator estimates in ideals of compact operators. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：3513 / 3559

页数：47

共 43 条

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