Kabe Moen
Higher-order multilinear Poincar\'e and Sobolev inequalities in Carnot groups.
Wed, 08/04/2010 - 15:01 — SomNambulAuthors: Kabe Moen, Virginia Naibo
Subjects: Classical Analysis and ODEs
AbstractThe notions of higher-order weighted multilinear Poincar\'e and Sobolev
inequalities in Carnot groups are introduced. As an application, weighted
Leibnitz-type rules in Campanato-Morrey spaces are established.Weighted multilinear Poincare inequalities for vector fields of Hormander type.
Wed, 09/09/2009 - 22:08 — SomNambulAuthors: Diego Maldonado, Kabe Moen, Virginia Naibo
Subjects: Classical Analysis and ODEs
AbstractAs the classical $(p,q)$-Poincar\'e inequality is known to fail for $0 < p <
1$, we introduce the notion of weighted multilinear Poincar\'e inequality as a
natural alternative when $m$-fold products and $1/m < p$ are considered. We
prove such weighted multilinear Poincar\'e inequalities in the subelliptic
context associated to vector fields of H\"ormader type. We do so by
establishing multilinear representation formulas and weighted estimates for
multilinear potential operators in spaces of homogeneous type.Weighted multilinear Poincare inequalities for vector fields of Hormander type.
Wed, 09/09/2009 - 22:08 — SomNambulAuthors: Diego Maldonado, Kabe Moen, Virginia Naibo
Subjects: Classical Analysis and ODEs
AbstractAs the classical $(p,q)$-Poincar\'e inequality is known to fail for $0 < p <
1$, we introduce the notion of weighted multilinear Poincar\'e inequality as a
natural alternative when $m$-fold products and $1/m < p$ are considered. We
prove such weighted multilinear Poincar\'e inequalities in the subelliptic
context associated to vector fields of H\"ormader type. We do so by
establishing multilinear representation formulas and weighted estimates for
multilinear potential operators in spaces of homogeneous type.
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