齐型空间上加权变指数Lebesgue空间上的分数型极大算子
经典分析与常微分方程
2024-08-13 v3 泛函分析
摘要
设(X,d,μ)是齐型空间，我们建立了一类新的分数型变权A_{p(·),q(·)}(X)。然后，我们得到了分数型极大算子M_η在(X,d,μ)上的加权变指数Lebesgue空间上的新的加权强型和弱型刻画。本研究推广了Cruz-Uribe-Fiorenza-Neugebauer (2012)、Bernardis-Dalmasso-Pradolini (2014)、Cruz-Uribe-Shukla (2018)和Cruz-Uribe-Cummings (2022)的结果。
引用
@article{arxiv.2404.15550,
title = {Fractional maximal operators on weighted variable Lebesgue spaces over the spaces of homogeneous type},
author = {Xi Cen},
journal= {arXiv preprint arXiv:2404.15550},
year = {2024}
}
备注
In the officially published documents, there is a symbol error in Theorem 1.10 and there is an additional reference in the References. We have corrected these mistakes