Multipliers for Pairs of Grand and Small Lebesgue Space for p∈(1,∞)

被引：1

作者：

Berezhnoi, Evgenii I. ^{[1
,2
,3
]}

机构：

[1] Yaroslavl State Univ, Dept Math, 14,Sovetskaya St, Yaroslavl 150000, Russia

[2] Southern Fed Univ, Reg Math Ctr, 105-42 Bolshaya Sadovaya, Rostov Na Donu 344090, Russia

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

来源：

POTENTIAL ANALYSIS | 2025年

关键词：

Banach ideal space; Multiplier space; Pointwise multipliers; Grand Lebesgue spaces; Small Lebesgue spaces; PRODUCTS;

D O I：

10.1007/s11118-025-10204-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a wide class of grand Lebesgue spaces, we give an exact description of the multiplier space between a couple of grand Lebesgue spaces from this class. It is shown that in this case the multiplier space for a couple of grand Lebesgue spaces is a grand Lebesgue space structurally constructed from the original spaces. A similar result is true for couples of small Lebesgue spaces.

引用

页数：18

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