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.
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页码：43 / 64
页数：22
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