论文标题

追踪Sobolev Martingales的不平等现象

Trace inequalities for Sobolev martingales

论文作者

Stolyarov, Dmitriy

论文摘要

我们研究了Maz'ya和Meyers的风格的限制痕迹不平等 - Sobolev Martingales的Ziemer。我们开发了这种估计的钟尔曼功能方法,该方法允许在马丁纳尔空间和痕迹不平等成立的马丁纳尔变换上提供足够而几乎必要的条件

We study limiting trace inequalities in the style of Maz'ya and Meyers--Ziemer for Sobolev martingales. We develop the Bellman function approach to such estimates, which allows to provide sufficient and almost necessary conditions on the martingale space and the martingale transform under which the trace inequalities hold true

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