论文标题
具有最佳参数的加权Lebesgue和Lipschitz空间之间多线性分数积分运算符的两加权估计值
Two-weighted estimates of the multilinear fractional integral operator between weighted Lebesgue and Lipschitz spaces with optimal parameters
论文作者
论文摘要
Given an $m$-tuple of weights $\vec{v}=(v_1,\dots,v_m)$, we characterize the classes of pairs $(w,\vec{v})$ involved with the boundedness properties of the multilinear fractional integral operator from $ \ prod_ {i = 1}^ml^{p_i} \ left（v_i^{p_i} \ right）$与参数$δ$，$ \ nathcal {l} _W（δ）$相关的合适lipschitz空格。我们的结果不仅概括了一些先前的估计值，不仅是线性案例，而且还针对多线性上下文中未加权的问题。 We emphasize the study related to the range of the parameters involved with the problem described above, which is optimal in the sense that they become trivial outside of the region obtained. 我们还展示了该区域中重量对的非平凡实例。
Given an $m$-tuple of weights $\vec{v}=(v_1,\dots,v_m)$, we characterize the classes of pairs $(w,\vec{v})$ involved with the boundedness properties of the multilinear fractional integral operator from $\prod_{i=1}^mL^{p_i}\left(v_i^{p_i}\right)$ into suitable Lipschitz spaces associated to a parameter $δ$, $\mathcal{L}_w(δ)$. Our results generalize some previous estimates not only for the linear case but also for the unweighted problem in the multilinear context. We emphasize the study related to the range of the parameters involved with the problem described above, which is optimal in the sense that they become trivial outside of the region obtained. We also exhibit nontrivial examples of pairs of weights in this region.
