SPECTRUM OF THE CESARO-HARDY OPERATOR IN REARRANGEMENT INVARIANT SPACES

被引：0

作者：

Akhymbek, Meiram ^{[1
]}

Tulenov, Kanat ^{[1
,2
,3
]}

Zaur, Gulnur ^{[1
,2
]}

机构：

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

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

[3] Univ Ghent, Dept Math Anal Log & Discrete Math, B-9000 Ghent, Belgium

来源：

QUAESTIONES MATHEMATICAE | 2024年 / 47卷 / 06期

关键词：

Rearrangement invariant spaces; Lorentz L-p; L-q spaces; Cesaro-Hardy operator; spectrum; fine spectra; RO OPERATOR;

D O I：

10.2989/16073606.2023.2281570

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the spectrum of the Cesaro-Hardy operator in rearrangement invariant spaces over a finite interval and a half line, thereby extending Boyd's and Leibowitz's results for L-p(1 < p <= 8) spaces. In particular, when our rearrangement invariant space is the Lorentz space L-p,L-q, a full description of the spectrum and fine spectra is presented.

引用

页码：1157 / 1175

页数：19

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