LOCAL ESTIMATE ABOUT SCHRODINGER MAXIMAL OPERATOR ON H-TYPE GROUPS

被引：4

作者：

Liu, Heping ^{[1
]}

Zeng, Hongbo ^{[1
]}

机构：

[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2017年 / 37卷 / 02期

关键词：

H-type group; maximal operator; fractional Schrodinger operator; HEISENBERG-GROUP; RADIAL FUNCTIONS; EQUATION; REGULARITY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let Delta be full Laplacian on H -type group G. Then for every compact set D subset of G, a local estimate of the Schr5dinger maximal operator holds, that is, integral(D0<t<1)sup|e(it Delta)f(x)|(2)dx less than or similar to||f||H-2(s) s>1/2. We also show that the above inequality fails when s < 1/4.

引用

页码：527 / 538

页数：12

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