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- W4386435764 abstract "Weighted inequality on the Hardy-Littlewood maximal function is completely understood while it is not well understood for the spherical maximal function. For the power weight $|x|^{alpha}$, it is known that the spherical maximal operator on $mathbb{R}^d$ is bounded on $L^p(|x|^{alpha})$ only if $1-dleq alpha<(d-1)(p-1)-d$ and under this condition, it is known to be bounded except $alpha=1-d$. In this paper, we prove the case of the critical order, $alpha=1-d$." @default.
- W4386435764 created "2023-09-05" @default.
- W4386435764 creator A5004238629 @default.
- W4386435764 date "2023-08-31" @default.
- W4386435764 modified "2023-10-01" @default.
- W4386435764 title "The critical weighted inequalities of the spherical maximal function" @default.
- W4386435764 doi "https://doi.org/10.48550/arxiv.2309.00068" @default.
- W4386435764 hasPublicationYear "2023" @default.
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