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On maximal operators on -spheres in
Authors:Muharem Avdispahic   Lejla Smajlovic
Affiliation:Department of Mathematics, University of Sarajevo, Zmaja od Bosne 35, 71000 Sarajevo, Bosnia and Herzegovina ; Department of Mathematics, University of Sarajevo, Zmaja od Bosne 35, 71000 Sarajevo, Bosnia and Herzegovina
Abstract:A. Magyar's result on $ L^{p}$-bounds for a family of operators on $ k$-spheres ($ kgeq 3$) in $ mathbb{Z}^{n}$ is improved to match the corresponding theorem for $ 2$-spheres.

Keywords:Maximal functions   Vinogradov's method
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