变指数局部Morrey空间上的局部sharp极大函数、几何极大函数和粗糙极大函数

IF 0.9 4区数学 Q2 MATHEMATICS Mathematical Inequalities & Applications Pub Date : 2020-10-01 DOI:10.7153/mia-2020-23-108

T. Yee, K. Cheung, K. Ho, Chun Kit Anthony Suen

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引用次数: 5

摘要

研究了变指数局部Morrey空间。证明了局部变指数块空间是局部变指数Morrey空间的前对偶。利用这一对偶性，建立了变指数局部Morrey空间的外推理论。外推理论给出了局部尖锐极大函数、几何极大函数和粗糙极大函数在变指数局部Morrey空间上的映射性质。数学学科分类(2010):42B20、42B35、46E30。

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Local sharp maximal functions, geometrical maximal functions and rough maximal functions on local Morrey spaces with variable exponents

We study the local Morrey spaces with variable exponents. We show that the local block space with variable exponents are pre-duals of the local Morrey spaces with variable exponents. Using this duality, we establish the extrapolation theory for the local Morrey spaces with variable exponents. The extrapolation theory gives the mapping properties for the local sharp maximal functions, the geometric maximal functions and the rough maximal function on the local Morrey spaces with variable exponents. Mathematics subject classification (2010): 42B20, 42B35, 46E30.

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来源期刊

Mathematical Inequalities & Applications 数学-数学

CiteScore

2.30

自引率

10.00%

发文量

审稿时长

6-12 weeks

期刊介绍： ''Mathematical Inequalities & Applications'' (''MIA'') brings together original research papers in all areas of mathematics, provided they are concerned with inequalities or their role. From time to time ''MIA'' will publish invited survey articles. Short notes with interesting results or open problems will also be accepted. ''MIA'' is published quarterly, in January, April, July, and October.