Product formulas in functional calculi for sectorial operators

被引：11

作者：

Batty, Charles ^{[1
]}

Gomilko, Alexander ^{[2
]}

Tomilov, Yuri ^{[2
,3
]}

机构：

[1] Univ Oxford, St Johns Coll, Oxford OX1 3JP, England

[2] Nicholas Copernicus Univ, Fac Math & Comp Sci, PL-87100 Torun, Poland

[3] Polish Acad Sci, Inst Math, PL-00956 Warsaw, Poland

来源：

MATHEMATISCHE ZEITSCHRIFT | 2015年 / 279卷 / 1-2期

基金：

英国工程与自然科学研究理事会;

关键词：

Banach space; Sectorial operator; Functional calculus; Product formula; Generalised Stieltjes functions; Bernstein functions; INTEGRALS; THEOREMS;

D O I：

10.1007/s00209-014-1378-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the product formula in the framework of (unbounded) functional calculus of sectorial operators . We give an abstract result, and, as corollaries, we obtain new product formulas for the holomorphic functional calculus, an extended Stieltjes functional calculus and an extended Hille-Phillips functional calculus. Our results generalise previous work of Hirsch, Martinez and Sanz, and Schilling.

引用

页码：479 / 507

页数：29

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