• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>St. Petersburg mathematical journal >SHARP ESTIMATES INVOLVING A(infinity) AND L log L CONSTANTS, AND THEIR APPLICATIONS TO PDE
【24h】

SHARP ESTIMATES INVOLVING A(infinity) AND L log L CONSTANTS, AND THEIR APPLICATIONS TO PDE

机译：夏普估计涉及A（无限）和L log L常数，及其在PDE中的应用

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

It is a well-known fact that the union U-p>1 R(H)p of the Reverse Holder classes coincides with the union U-p>1 A(p) = A(infinity) of the Muckenhoupt classes, but the A(infinity) constant of the weight w, which is a limit of its A(p) constants, is not a natural characterization for the weight in Reverse Holder classes. In the paper, the RH1 condition is introduced as a limiting case of the RHp inequalities as p tends to 1, and a sharp bound is found on the RH1 constant of the weight w in terms of its A(infinity) constant. Also, the sharp version of the Gehring theorem is proved for the case of p = 1, completing the answer to the famous question of Bojarski in dimension one.
机译：一个众所周知的事实是反向持有者类的并集Up> 1 R（H）p与Muckenhoupt类的并集Up> 1 A（p）= A（无穷大）一致，但是A（无穷大）重量w的常数（是其A（p）常数的限制）不是反向持有者类中重量的自然特征。在本文中，引入RH1条件作为RHp不等式的极限情况，因为p趋于1，并且在权重w的RH1常数上，以其A（无穷大）常数为界。同样，对于p = 1的情况，证明了格林定理的尖锐形式，从而完成了对第一维Bojarski问题的解答。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号