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摘要
As the classical (p, q)-Poincare inequality is known to fail for 0 < p < 1, we introduce the notion of weighted multilinear Poincare inequality as a natural alternative when m-fold products and 1/m < p are considered. We prove such weighted multilinear Poincare inequalities in the subelliptic context associated to vector fields of Hormader type. We do so by establishing multilinear representation formulas and weighted estimates for multilinear potential operators in spaces of homogeneous type.
- 出版日期2011
