Weighted inequalities for maximal functions associated with general measures. (English) Zbl 0736.42013
Consider a positive Borel measure on the one dimensional Euclidean space, which is finite on bounded sets. The author characterizes the weight pairs for which two weight norm and weak inequalities hold for maximal functions with respect to this measure. He treats left and right sided maximal functions and a two-sided one. In the \(n\)-dimensional and usual maximal function case, B. Muckenhoupt treated the continuous measures and E. Sawyer treated the doublinng measures.
Reviewer: K.Yabuta (Nara)
MSC:
| 42B25 | Maximal functions, Littlewood-Paley theory |
References:
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