数学物理学报(英文版) ›› 2017, Vol. 37 ›› Issue (2): 527-538.doi: 10.1016/S0252-9602(17)30019-X

• 论文 • 上一篇    下一篇

LOCAL ESTIMATE ABOUT SCHRÖDINGER MAXIMAL OPERATOR ON H-TYPE GROUPS

刘和平, 曾宏波   

  1. School of Mathematical Sciences, Peking University, Beijing 100871, China
  • 收稿日期:2016-01-19 修回日期:2016-05-09 出版日期:2017-04-25 发布日期:2017-04-25
  • 作者简介:Heping LIU,E-mail:hpliu@math.pku.edu.cn;Hongbo ZENG,E-mail:zenghongbo@pku.edu.cn
  • 基金资助:

    The first author is supported by National Nature Science Foundation of China (11371036).

LOCAL ESTIMATE ABOUT SCHRÖDINGER MAXIMAL OPERATOR ON H-TYPE GROUPS

Heping LIU, Hongbo ZENG   

  1. School of Mathematical Sciences, Peking University, Beijing 100871, China
  • Received:2016-01-19 Revised:2016-05-09 Online:2017-04-25 Published:2017-04-25
  • Supported by:

    The first author is supported by National Nature Science Foundation of China (11371036).

摘要:

Let △ be full Laplacian on H-type group G.Then for every compact set D ⊆ G, a local estimate of the Schrödinger maximal operator holds,that is,

We also show that the above inequality fails when s < 1/4.

关键词: H-type group, maximal operator, fractional Schrödinger operator

Abstract:

Let △ be full Laplacian on H-type group G.Then for every compact set D ⊆ G, a local estimate of the Schrödinger maximal operator holds,that is,

We also show that the above inequality fails when s < 1/4.

Key words: H-type group, maximal operator, fractional Schrödinger operator