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On Weighted Poincaré Inequalities
Authors:Andrea Gianchi  David E Edmunds  Petr Gurka
Abstract:We are concerned with the problem of finding sharp summability conditions on the weights which render certain weighted inequalities of Poincaré - type true. The conditions we find consist of proper integral balances between the growths of the rearrangements of the weights.
Keywords:Poincaré  inequalities  weights  rearrangements  isoperimetric function
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