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《山东大学学报(理学版)》 ›› 2025, Vol. 60 ›› Issue (8): 95-105.doi: 10.6040/j.issn.1671-9352.0.2023.427

• • 上一篇    

双线性θ-型C-Z算子在双权变指数Herz空间上的估计

吴奇,杨沿奇*,陶双平   

  1. 西北师范大学数学与统计学院, 甘肃 兰州 730070
  • 发布日期:2025-07-25
  • 通讯作者: 杨沿奇(1991— ),女,讲师,硕士研究生导师,博士,研究方向为调和分析及其应用. E-mail:yangyq@nwnu.edu.cn
  • 作者简介:吴奇(1998— ),男,硕士研究生,研究方向为调和分析. E-mail:wuqi12090310@126.com*通信作者:杨沿奇(1991— ),女,讲师,硕士研究生导师,博士,研究方向为调和分析及其应用. E-mail:yangyq@nwnu.edu.cn
  • 基金资助:
    西北师范大学博士科研启动金资助项目(202003101203);2022年应用数学湖北省重点实验室(湖北大学)开放基金项目(HBAM202205)

Estimate of the bilinear θ-type C-Z operator on two weight Herz spaces with variable exponents

WU Qi, YANG Yanqi*, TAO Shuangping   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Published:2025-07-25

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摘要： 利用双权估计和函数分解方法, 并借助乘积Lp(·)空间上的加权有界性得到双线性θ-型Calderón-Zygmund算子在双权可变指数Herz空间上的有界性。

关键词: θ-型Calderón-Zygmund算子, 权函数, 变指数Herz空间, 有界性

Abstract: The boundedness of the bilinear θ-type Calderón-Zygmund operator on the double-weight variable exponent Herz space is obtained by using the double-weight estimation and the function decomposition method, as well as the weighted boundedness on the product Lp(·) space.

Key words: θ-type Calderón-Zygmund operator, weight function, Herz spaces with variable exponents, boundedness

中图分类号: 

  • O174.2
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