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赋Orlicz范数下Orlicz-Lorentz序列空间的一致正规结构和一致非方性

陈博文 巩万中

应用数学2021,Vol.34Issue(2):436-447,12.
应用数学2021,Vol.34Issue(2):436-447,12.

赋Orlicz范数下Orlicz-Lorentz序列空间的一致正规结构和一致非方性

Uniformly Normal Structure and Uniform Non-Squareness of Orlicz-Lorentz Sequence Spaces Endowed with the Orlicz Norm

陈博文 1巩万中1

作者信息

  • 1. 安徽师范大学数学系,安徽芜湖241000
  • 折叠

摘要

Abstract

As a generalization of classical Orlicz space,Orlicz-Lorentz space provides a reasonable space framework for harmonic analysis and differential equations.While uniformly normal structure and uniform non-squareness play important roles in fixed point theory.In this paper the necessary and sufficient conditions were given for Orlicz-Lorentz sequence space endowed with the Orlicz norm having uniformly normal structure and uniform non-squareness.

关键词

一致正规结构/一致非方性/Orlicz-Lorentz序列空间/Orlicz范数

Key words

Uniformly normal structure/Uniform non-squareness/Orlicz-Lorentz sequence spaces/Orlicz norm

分类

数理科学

引用本文复制引用

陈博文,巩万中..赋Orlicz范数下Orlicz-Lorentz序列空间的一致正规结构和一致非方性[J].应用数学,2021,34(2):436-447,12.

基金项目

Supported by the National Science Research Project of Anhui Educational Department(KJ2019A0487),the National Natural Science Foundation of China(11771273) (KJ2019A0487)

应用数学

OA北大核心CSCDCSTPCD

1001-9847

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