Some new thoughts on old results of R. T. Seeley


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DENK, Robert, Giovanni DORE, Matthias HIEBER, Jan PRÜSS, Alberto VENNI, 2004. Some new thoughts on old results of R. T. Seeley. In: Mathematische Annalen. 328(4), pp. 545-583

@article{Denk2004thoug-559, title={Some new thoughts on old results of R. T. Seeley}, year={2004}, number={4}, volume={328}, journal={Mathematische Annalen}, pages={545--583}, author={Denk, Robert and Dore, Giovanni and Hieber, Matthias and Prüss, Jan and Venni, Alberto} }

Hieber, Matthias Dore, Giovanni Denk, Robert Prüss, Jan deposit-license Denk, Robert First publ. in: Mathematische Annalen 328 (2004), 4, pp. 545-583 Some new thoughts on old results of R. T. Seeley application/pdf 2004 Prüss, Jan Venni, Alberto Dore, Giovanni In this paper we show that the Lp-reslization of a vector-valued elliptic boundary value problem (A,Bj) admits a bounded H-infinity calculus on Lp (G;E), p>1, provided the top-order coefficients of A are Hölder continuous. Here G denotes a domain in Rn with compact C2m-boundary and E a Banach space of class HT. Our proof is based on an abstract perturbation result for operators admitting bounded H-infinity calculus and kernel estimates for the solution of (A,Bj). 2011-03-22T17:45:03Z Venni, Alberto eng Hieber, Matthias 2011-03-22T17:45:03Z

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