Rs-bounded H∞-calculus for sectorial operators via generalized Gaussian estimates

被引：2

作者：

Kunstmann, Peer Christian ^{[1
]}

Ullmann, Alexander ^{[1
]}

机构：

[1] Karlsruhe Inst Technol, Dept Math, D-76128 Karlsruhe, Germany

来源：

MATHEMATISCHE NACHRICHTEN | 2015年 / 288卷 / 11-12期

关键词：

Functional calculus; Calderon-Zygmund theory; elliptic operators; WEIGHTED NORM INEQUALITIES; ELLIPTIC-OPERATORS; HEAT KERNEL; REGULARITY; SPACES; MANIFOLDS; THEOREMS;

D O I：

10.1002/mana.201300132

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that, for negative generators of analytic semigroups, a bounded H-calculus self-improves to an Rs-bounded H-calculus in an appropriate scale of Lp-spaces if the semigroup satisfies suitable generalized Gaussian estimates. As application of our result we obtain that large classes of differential operators have an Rs-bounded H-calculus. (C) 2015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：1371 / 1387

页数：17

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