首页 | 本学科首页   官方微博 | 高级检索  
     检索      


$ L^p$-bounds for the Beurling-Ahlfors transform
Authors:Rodrigo Bañ  uelos  Prabhu Janakiraman
Institution:Department of Mathematics, Purdue University, West Lafayette, Indiana 47907-1395 ; Department of Mathematics, University of Illinois, Urbana-Champaign, Illinois 61801
Abstract:Let $ B$ denote the Beurling-Ahlfors transform defined on $ L^p(\mathbb{C})$, $ 1<p<\infty$. The celebrated conjecture of T. Iwaniec states that its $ L^p$ norm $ \Vert B\Vert _p=p^*-1$ where $ p^*= \max\{p,\frac{p}{p-1}\}$. In this paper the new upper estimate

$\displaystyle \Vert B\Vert _p\leq 1.575\,(p^*-1), \hspace{3mm} 1<p<\infty,$

is found.

Keywords:Singular integrals  stochastic integrals
点击此处可从《Transactions of the American Mathematical Society》浏览原始摘要信息
点击此处可从《Transactions of the American Mathematical Society》下载免费的PDF全文
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号