论文标题
一个两个重量本地$ tb $定理，用于$ n $二维分数奇异积分
A two weight local $Tb$ theorem for $n$-dimensional fractional singular integrals
论文作者
论文摘要
我们获得了一个当地的两个重量$ tb $定理，具有能源侧条件，可用于更高的分数Calderón-Zygmund操作员。证明遵循[sashur12]中相应的一维$ tb $定理的证明的一般概述，但遇到了许多新挑战，包括t.hytönen的较高维度的失败引起的一些挑战，这是hytönen的一维一维的两个重量$ a__ {2} $ intoreperiation t. hyt [hyt]。
We obtain a local two weight $Tb$ theorem with an energy side condition for higher dimensional fractional Calderón-Zygmund operators. The proof follows the general outline of the proof for the corresponding one-dimensional $Tb$ theorem in [SaShUr12], but encountering a number of new challenges, including several arising from the failure in higher dimensions of T. Hytönen's one-dimensional two weight $A_{2}$ inequality [Hyt].
