齐型空间上极大算子的复合

数学季刊 ›› 2010, Vol. 25 ›› Issue (2): 249-256.

齐型空间上极大算子的复合

1. Department of Mathematics and Physics, Henan Institute of Engineering(Zhengzhou)2. Department of Applied Mathematics, University of Information Engineering(Zhengzhou)

收稿日期:2007-08-08 出版日期:2010-06-30 发布日期:2023-06-05
作者简介:YUAN Xin-feng(1962-), female, native of Zhengzhou, Henan, an associate professor of Henan Institute of Engineering, engages in applied mathematics; ZHANG Hao(1984-), male, native of Zhengzhou,Henan, a student of University of Information Engineering, M.S.D., engages in applied mathematics.
基金资助:
Supported by the NSF from the Education Department of Henan Province(2007110006)；

Composition of Maximal Operators on Space of Homogeneous Type

1. Department of Mathematics and Physics, Henan Institute of Engineering(Zhengzhou)2. Department of Applied Mathematics, University of Information Engineering(Zhengzhou)

Received:2007-08-08 Online:2010-06-30 Published:2023-06-05
About author:YUAN Xin-feng(1962-), female, native of Zhengzhou, Henan, an associate professor of Henan Institute of Engineering, engages in applied mathematics; ZHANG Hao(1984-), male, native of Zhengzhou,Henan, a student of University of Information Engineering, M.S.D., engages in applied mathematics.
Supported by:
Supported by the NSF from the Education Department of Henan Province(2007110006)；

摘要/Abstract

摘要： Let Φ be a Young function and MΦ be the maximal operator associated with Φ in the space of homogeneous type. In this paper, the composition of the maximal operators of type M_Φ is considered, and the result established by Carrozza and Passarelli Di Napoli^[2] is generalized to the space of homogeneous type.

关键词: maximal operator, space of homogeneous type, Young function, Calderon-Zygmund decomposition

Abstract: Let Φ be a Young function and MΦ be the maximal operator associated with Φ in the space of homogeneous type. In this paper, the composition of the maximal operators of type M_Φ is considered, and the result established by Carrozza and Passarelli Di Napoli^[2] is generalized to the space of homogeneous type.

Key words: maximal operator, space of homogeneous type, Young function, Calderon-Zygmund decomposition

中图分类号:

O177

原新凤, 张昊. 齐型空间上极大算子的复合[J]. 数学季刊, 2010, 25(2): 249-256.

YUAN Xin-feng, ZHANG Hao. Composition of Maximal Operators on Space of Homogeneous Type[J]. Chinese Quarterly Journal of Mathematics, 2010, 25(2): 249-256.

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