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The representation of fractional powers of coercive differential operators. (English) Zbl 1337.47050

Summary: In this paper, under the definition of fractional powers by Straub [J.M.A.M. van Neerven and B. Straub, Houston J. Math. 24, No. 1, 137–171 (1998; Zbl 0966.34050)], we will give the representation of fractional powers of coercive differential operators by using pseudo differential operators.

MSC:

47B38 Linear operators on function spaces (general)
47A05 General (adjoints, conjugates, products, inverses, domains, ranges, etc.)
47F05 General theory of partial differential operators
46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)

Citations:

Zbl 0966.34050
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References:

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