作者:\n\t赵鹏飞， 毕淑娟， 刘振杰\n

Authors:\n\tZHAOPengfei,\tBIShujuan,\tLIUZhenjie\n
摘要: 利用微分形式的Poincaré-Sobolev不等式证明了当1<p<n时复合算子TDG的高阶L^P可积性,然后进一步讨论了p≥n的情形,获得了复合算子的高阶范数估计,并利用该结果对L^p可积微分形式证明了局部加权范数不等式成立。

Abstract:We firstly prove the higher integrability of the composite operator T D G by using Poincaré-Sobolev inequalities when 1< p < n. Then further consider the case of p ≥ n and obtain the higher order norm estimation of composite operators, by which the weighted norm inequality for Lp integrable differential forms is proved.


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