info:eu-repo/semantics/article
On maximal functions over circular sectors with rotation invariant measures
Fecha
2001-12Registro en:
Aimar, Hugo Alejandro; Forzani, Liliana Maria; Naibo, Virginia; On maximal functions over circular sectors with rotation invariant measures; EuDML; Commentationes Mathematicae; 42; 2; 12-2001; 311-318
0010-2628
CONICET Digital
CONICET
Autor
Aimar, Hugo Alejandro
Forzani, Liliana Maria
Naibo, Virginia
Resumen
Given a rotation invariant measure in Rn, 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.