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Weighted Poincaré and Sobolev inequalities and estimates for weighted Peano maximal functions. (English) Zbl 0575.42026
The authors obtain local Poincaré and Sobolev inequalities involving two weight functions. Also weighted Peano derivatives are considered; the Peano derivative formed with a given weight function is estimated in terms of a maximal function involving a second weight function.
Reviewer: R.D.Carmichael

MSC:
42B25 Maximal functions, Littlewood-Paley theory
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