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The permanence of R-boundedness and property(alpha) under interpolation and applications to parabolic systems

The permanence of R-boundedness and property(alpha) under interpolation and applications to parabolic systems

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SAAL, Jürgen, Mario KAIP, 2011. The permanence of R-boundedness and property(alpha) under interpolation and applications to parabolic systems

@unpublished{Saal2011perma-16599, title={The permanence of R-boundedness and property(alpha) under interpolation and applications to parabolic systems}, year={2011}, author={Saal, Jürgen and Kaip, Mario} }

2011-11-15T10:26:42Z 2011-11-15T10:26:42Z 2011 eng Kaip, Mario deposit-license Saal, Jürgen Saal, Jürgen The permanence of R-boundedness and property(alpha) under interpolation and applications to parabolic systems This note consists of two parts. In the first part we consider the behavior of R-boundedness, R-sectoriality, and property(α) under the interpolation of Banach spaces. In a general setting we prove that for interpolation functors of type h the R-boundedness, the R-sectoriality, and the property(α) preserve under interpolation. In particular, this is true for the standard real and complex interpolation methods. The second part represents an application of the first part. We prove R-sectoriality, or equivalently, maximal Lp-regularity for a general class of parabolic systems on interpolation spaces including scales of Besov- and Bessel-potential spaces over Rn. Kaip, Mario

Dateiabrufe seit 01.10.2014 (Informationen über die Zugriffsstatistik)

Kaip_Saal_interpolation.pdf 126

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