Norms of Toeplitz and Hankel operators on Hardy type subspaces of rearrangement-invariant spaces

被引：6

作者：

Karlovich, AY ^{[1
]}

机构：

[1] Univ Tecn Lisboa, Dept Matemat, Inst Super Tecn, P-1049001 Lisbon, Portugal

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2004年 / 49卷 / 01期

关键词：

Toeplitz operator; Hankel operator; rearrangement-invariant space; Boyd indices; Lozanovskii factorization;

D O I：

10.1007/s00020-002-1190-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove analogues of the Brown-Halmos and Nehari theorems on the norms of Toeplitz and Hankel operators, respectively, acting on subspaces of Hardy type of reflexive rearrangement-invariant spaces with nontrivial Boyd indices.

引用

页码：43 / 64

页数：22

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