EMBEDDINGS BETWEEN WEIGHTED TANDORI AND CESARO FUNCTION SPACES

被引：1
|
作者：
Unver Yildiz, Tugce [1 ]
机构：
[1] Kirikkale Univ, Fac Sci & Arts, Dept Math, Kirikkale, Turkey
来源：
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | 2021年 / 70卷 / 02期
关键词：
Cesaro function spaces; Copson function spaces; Tandori function spaces; embeddings; weighted inequalities; Hardy operator; Copson operator; iterated operators; ABSTRACT CESARO; INEQUALITIES; COPSON; OPERATORS;
D O I：
10.31801/cfsuasmas.869893
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We characterize the weights for which the two-operator inequality ||(integral(x)(0) f(t)(p) upsilon(t)(p) dt) (1/p)||(q,u,(0,infinity)) <= c||(t is an element of(x,infinity))ess sup f(t)||(r,w,(0,infinity)) holds for all non-negative measurable functions on (0;1), where 0 < p < q <= infinity and 0 < r < infinity, namely, we.nd the least constants in the embeddings between weighted Tandori and Cesaro function spaces. We use the combination of duality arguments for weighted Lebesgue spaces and weighted Tandori spaces with weighted estimates for the iterated integral operators
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页码：837 / 848
页数：12
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