广义Hausdorff算子在局部Morrey型空间上的Sharp估计

吉林大学学报(理学版) ›› 2026, Vol. 64 ›› Issue (4): 773-0779.

广义Hausdorff算子在局部Morrey型空间上的Sharp估计

张琪, 冯梦裳

西北师范大学数学与统计学院, 兰州 730070

收稿日期:2025-11-11 出版日期:2026-07-26 发布日期:2026-07-26
通讯作者: 张琪 E-mail:zhangqimaths@126.com

Sharp Estimates for Generalized Hausdorff Operators on Local Morrey-Type Spaces#br#
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Zhang Qi, Feng Mengshang

College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China

Received:2025-11-11 Online:2026-07-26 Published:2026-07-26

摘要/Abstract

摘要： 考虑广义Hausdorff算子在局部Morrey型空间及其补空间上的有界性, 利用范数估计和构造测试函数的方法给出算子有界的充要条件, 并建立sharp常数.

关键词: Hausdorff算子, 局部Morrey型空间, sharp估计

Abstract: We considered the boundedness of generalized Hausdorff operators on local Morrey-type spaces and their complementary spaces. By using norm estimation and constructing test functions, we gave necessary and sufficient conditions for the boundedness of these operators and established their sharp constants.

Key words: Hausdorff operator, local Morrey-type space, sharp estimate

中图分类号:

O174.2

张琪, 冯梦裳. 广义Hausdorff算子在局部Morrey型空间上的Sharp估计[J]. 吉林大学学报(理学版), 2026, 64(4): 773-0779.

Zhang Qi, Feng Mengshang. Sharp Estimates for Generalized Hausdorff Operators on Local Morrey-Type Spaces#br#