Geodesic
BEST CONSTANTS IN THE WEAK-TYPE ESTIMATES FOR UNCENTERED MAXIMAL OPERATORS
Glasgow mathematical journal, Tome 54 (2012) no. 3, pp. 655-663

Voir la notice de l'article provenant de la source Cambridge University Press

Let μ be a Borel measure on R. The paper contains the proofs of the estimatesandHere A is a subset of R, f is a μ-locally integrable function, μ is the uncentred maximal operator with respect to μ and cp,q, and Cp,q are finite constants depending only on the parameters indicated. In the case when μ is the Lebesgue measure, the optimal choices for cp,q and Cp,q are determined. As an application, we present some related tight bounds for the strong maximal operator on Rn with respect to a general product measure.
DOI : 10.1017/S0017089512000249
Mots-clés : Primary: 42B25, Secondary: 42B35, 46E30 
OSȨKOWSKI, ADAM. BEST CONSTANTS IN THE WEAK-TYPE ESTIMATES FOR UNCENTERED MAXIMAL OPERATORS. Glasgow mathematical journal, Tome 54 (2012) no. 3, pp. 655-663. doi: 10.1017/S0017089512000249
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