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On Weighted Poincaré Inequalities |
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| 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 |