Explicit improvements for Lp-estimates related to elliptic systems

被引：0

作者：

Boehnlein, Tim ^{[1
]}

Egert, Moritz ^{[1
]}

机构：

[1] Tech Univ Darmstadt, Fachbereich Math, Schlossgartenstr 7, Darmstadt D-64289, Germany

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2024年 / 56卷 / 03期

关键词：

REGULARITY; OPERATORS;

D O I：

10.1112/blms.12973

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a simple argument to obtain L-p-boundedness for heat semigroups associated to uniformly strongly elliptic systems on R-d by using Stein interpolation between Gaussian estimates and hypercontractivity. Our results give p explicitly in terms of ellipticity. It is optimal at the endpoint p = infinity. We also obtain L-p-estimates for the gradient of the semigroup, where p > 2 depends on ellipticity but not on dimension.

引用

页码：914 / 930

页数：17

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