On maximal operators on 𝑘-spheres in ℤⁿ

Avdispahić, Muharem; Smajlović, Lejla

doi:10.1090/S0002-9939-06-08458-9

On maximal operators on $k$-spheres in $\mathbb {Z}^{n}$
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by Muharem Avdispahić and Lejla Smajlović PDF

Proc. Amer. Math. Soc. 134 (2006), 2125-2130 Request permission

Abstract:

A. Magyar’s result on $L^{p}$-bounds for a family of operators on $k$-spheres ($k\geq 3$) in $\mathbb {Z}^{n}$ is improved to match the corresponding theorem for $2$-spheres.

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