OPTIMAL COUPLES OF REARRANGEMENT INVARIANT SPACES FOR THE FRACTIONAL MAXIMAL OPERATOR

被引：0

作者：

Ahmed, Irshaad ^{[1
]}

Karadzhov, Georgi ^{[1
,2
]}

Nazeer, Waqas ^{[1
]}

机构：

[1] GC Univ Lahore, Abdus Salam Sch Math Sci, Lahore, Pakistan

[2] Bulgarian Acad Sci, Inst Math & Informat, BU-1113 Sofia, Bulgaria

来源：

COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES | 2011年 / 64卷 / 09期

关键词：

fractional maximal operator; optimal embeddings; rearrangement invariant function spaces; real interpolation;

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We prove continuity of the fractional maximal operator in optimal couples of rearrangement invariant function spaces defined in R-n with the Lebesgue measure.

引用

页码：1233 / 1240

页数：8

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