A sharp rearrangement inequality for the fractional maximal operator

被引：0

作者：

Cianchi, A

Kerman, R

Opic, B

Pick, L

机构：

[1] Univ Florence, Fac Architettura, Ist Matemat, I-50122 Florence, Italy

[2] Acad Sci Czech Republ, Inst Math, CR-11567 Prague 1, Czech Republic

[3] Brock Univ, Dept Math, St Catharines, ON L2S 3A1, Canada

[4] Charles Univ, Fac Math & Phys, Dept Math Anal, Prague 18675 8, Czech Republic

来源：

STUDIA MATHEMATICA | 2000年 / 138卷 / 03期

关键词：

fractional maximal operator; nonincreasing rearrangement; classical Lorentz spaces; weighted norm inequalities;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a sharp pointwise estimate of the nonincreasing rearrangement of the fractional maximal function of f, M-gamma f, by an expression involving the nonincreasing rearrangement of f. This estimate is used to obtain necessary and sufficient conditions for the boundedness of M-gamma between classical Lorentz spaces.

引用

页码：277 / 284

页数：8

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