$L^p$ bound on the strong spherical maximal function

arxiv: 2309.15308 · v1 · pith:SXKVMOZK · submitted 2023-09-26 · math.CA

L^p bound on the strong spherical maximal function

Juyoung Lee , Sanghyuk Lee , Sewook Oh This is my paper

classification math.CA

keywords functionmaximalsphericalstrongboundboundedmathbbnote

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In this note we show that the strong spherical maximal function in $\mathbb R^d$ is bounded on $L^p$ if $p>2(d+1)/(d-1)$ for $d\ge 3$.

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