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On maximal operators on $ k$-spheres in $ \mathbb{Z}^{n}$

Author(s): Muharem Avdispahic; Lejla Smajlovic
Journal: Proc. Amer. Math. Soc. 134 (2006), 2125-2130.
MSC (2000): Primary 42B25, 11P55
Posted: January 17, 2006
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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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Additional Information:

Muharem Avdispahic
Affiliation: Department of Mathematics, University of Sarajevo, Zmaja od Bosne 35, 71000 Sarajevo, Bosnia and Herzegovina
Email: mavdispa@pmf.unsa.ba

Lejla Smajlovic
Affiliation: Department of Mathematics, University of Sarajevo, Zmaja od Bosne 35, 71000 Sarajevo, Bosnia and Herzegovina
Email: lejlas@pmf.unsa.ba

DOI: 10.1090/S0002-9939-06-08458-9
PII: S 0002-9939(06)08458-9
Keywords: Maximal functions, Vinogradov's method
Received by editor(s): February 21, 2005
Posted: January 17, 2006
Communicated by: Michael T. Lacey
Copyright of article: Copyright 2006, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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