✦ LIBER ✦

Fractional Powers of Operators of Regularized Type

✍ Scribed by Ralph deLaubenfels; Fuyuan Yao; Shengwang Wang

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 246 KB
Volume: 199
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1996.0182

No coin nor oath required. For personal study only.

✦ Synopsis

We construct fractional powers of operators whose C-regularized resolvent Ž . y 1 Ž . wyA C is O 1rw in an appropriate sector. This includes operators with polynomially bounded resolvent. Our construction has the properties one expects, analogous to the case when C s I; in particular, it satisfies mapping properties. We derive many new facts about the regularized resolvent.

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