BEST CONSTANTS IN THE WEAK-TYPE ESTIMATES FOR UNCENTERED MAXIMAL OPERATORS
Glasgow mathematical journal, Tome 54 (2012) no. 3, pp. 655-663
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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.
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
@article{10_1017_S0017089512000249,
author = {OS\c{E}KOWSKI, ADAM},
title = {BEST {CONSTANTS} {IN} {THE} {WEAK-TYPE} {ESTIMATES} {FOR} {UNCENTERED} {MAXIMAL} {OPERATORS}},
journal = {Glasgow mathematical journal},
pages = {655--663},
year = {2012},
volume = {54},
number = {3},
doi = {10.1017/S0017089512000249},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000249/}
}
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