广义Hausdorff算子在局部Morrey型空间上的Sharp估计

Sharp Estimates for Generalized Hausdorff Operators on Local Morrey-Type Spaces

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.

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.

关键词

Hausdorff算子 / 局部Morrey型空间 / sharp估计

Key words

Hausdorff operator / local Morrey-type space / sharp estimate

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基金资助

2026年度甘肃省高校研究生“创新之星”项目(2026CXZX-422)