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On Weighted Poincaré Inequalities
Author(s) -
Gianchi Andrea,
Edmunds David E.,
Gurka Petr
Publication year - 1996
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.3211800103
Subject(s) - mathematics , inequality , poincaré conjecture , type (biology) , pure mathematics , calculus (dental) , mathematical analysis , orthodontics , medicine , ecology , biology
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.