We are concerned with the problem of finding sharp summability conditions on the weights which render certain weighted inequalities of Poincare-type true. The conditions we find consist of proper integral balances between the growths of the rearrangements of the weights.
On weighted Poincaré inequalities / Cianchi, Andrea; Edmunds, D. E.; Gurka, P.. - In: MATHEMATISCHE NACHRICHTEN. - ISSN 0025-584X. - STAMPA. - 180:(1996), pp. 15-41. [10.1002/mana.3211800103]
On weighted Poincaré inequalities
CIANCHI, ANDREA;
1996
Abstract
We are concerned with the problem of finding sharp summability conditions on the weights which render certain weighted inequalities of Poincare-type true. The conditions we find consist of proper integral balances between the growths of the rearrangements of the weights.
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