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Norm inequalities for off-centered maximal operators. (English) Zbl 0848.42013
Summary: Sufficient conditions are derived in order that there exist strong type weighted norm inequalities for some off-centered maximal functions. The maximal functions are of Hardy-Littlewood and fractional types taken over starlike sets in \(\mathbb{R}^n\). The sufficient conditions are close to necessary and extend some previously known weak-type results.
MSC:
42B25 Maximal functions, Littlewood-Paley theory
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