Geodesic
On maximal functions over circular sectors with rotation invariant measures
Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) no. 2, pp. 311-318.

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Given a rotation invariant measure in $\Bbb R^n$, we define the maximal operator over circular sectors. We prove that it is of strong type $(p,p)$ for $p>1$ and we give necessary and sufficient conditions on the measure for the weak type $(1,1)$ inequality. Actually we work in a more general setting containing the above and other situations.
Classification : 42B25, 43A85
Keywords: maximal functions; spaces of homogeneous type 
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     title = {On maximal functions over circular sectors with rotation invariant measures},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {311--318},
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     zbl = {1054.42014},
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Aimar, H.; Forzani, L.; Naibo, V. On maximal functions over circular sectors with rotation invariant measures. Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) no. 2, pp. 311-318. http://geodesic.mathdoc.fr/item/CMUC_2001__42_2_a7/