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Sharp weighted bounds involving \(A_\infty\). (English) Zbl 1283.42032

The authors improve a number of inequalities in Muckenhoupt theory replacing a part of \(A_p\) bounds by weaker \(A_\infty\) estimates. Results on commutators are also obtained.

MSC:

42B25 Maximal functions, Littlewood-Paley theory
42B20 Singular and oscillatory integrals (Calderón-Zygmund, etc.)
42B35 Function spaces arising in harmonic analysis
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