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.
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页码：479 / 507
页数：29
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