Fractional Powers of Operators of Regularized Type

Fractional Powers of Operators of Regularized Type

We construct fractional powers of operators whoseC-regularized resolvent (w−A)−1CisO(1/w) in an appropriate sector. This includes operators with polynomially bounded resolvent. Our construction has the properties one expects, analogous to the case whenC=I; in particular, it satisfies mapping propert...

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Veröffentlicht in:Journal of mathematical analysis and applications 1996-05, Vol.199 (3), p.910-933
Hauptverfasser: deLaubenfels, Ralph, Yao, Fuyuan, Wang, Shengwang
Format: Artikel
Sprache:eng
Schlagworte:
Exact sciences and technology
Mathematical analysis
Mathematics
Operator theory
Sciences and techniques of general use
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Zusammenfassung:We construct fractional powers of operators whoseC-regularized resolvent (w−A)−1CisO(1/w) in an appropriate sector. This includes operators with polynomially bounded resolvent. Our construction has the properties one expects, analogous to the case whenC=I; in particular, it satisfies mapping properties. We derive many new facts about the regularized resolvent.
ISSN:0022-247X
1096-0813
DOI:10.1006/jmaa.1996.0182