New thoughts on old results of R.T. Seeley

Robert Denk, Giovanni Dore, Matthias Georg Hieber, Jan Prüss, Alberto Venni

Research output: Contribution to journalArticle

63 Citations (Scopus)

Abstract

In this paper we show that the Lp -realization of a vector-valued elliptic boundary value problem (A, Bj) admits a bounded H-calculus on LP(G; E), 1 <p <∞, 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-calculus and kernel estimates for the solution of (A, Bj).

Original languageEnglish
Pages (from-to)545-583
Number of pages39
JournalMathematische Annalen
Volume328
Issue number4
Publication statusPublished - 2004 Apr
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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  • Cite this

    Denk, R., Dore, G., Hieber, M. G., Prüss, J., & Venni, A. (2004). New thoughts on old results of R.T. Seeley. Mathematische Annalen, 328(4), 545-583.