Lp-bounds for the Beurling-Ahlfors transform

被引：56

作者：

Banuelos, Rodrigo ^{[1
]}

Janakiraman, Prabhu ^{[2
]}

机构：

[1] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

[2] Univ Illinois, Dept Math, Urbana, IL 61801 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2008年 / 360卷 / 07期

关键词：

D O I：

10.1090/S0002-9947-08-04537-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let B denote the Beurling-Ahlfors transform de. ned on L-p(C), 1 < p < infinity. The celebrated conjecture of T. Iwaniec states that its L-p norm parallel to B parallel to(p) = p*- 1 where p* = max{p, p/p-1}. In this paper the new upper estimate parallel to B parallel to(p) <= 1.575 ( p* - 1), 1 < p < infinity, is found.

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页码：3603 / 3612

页数：10

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