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

60 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

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Calculus
Kernel Estimate
Elliptic Boundary Value Problems
Bounded Operator
Banach space
Denote
Perturbation
Coefficient
Class

ASJC Scopus subject areas

  • Mathematics(all)

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.

New thoughts on old results of R.T. Seeley. / Denk, Robert; Dore, Giovanni; Hieber, Matthias Georg; Prüss, Jan; Venni, Alberto.

In: Mathematische Annalen, Vol. 328, No. 4, 04.2004, p. 545-583.

Research output: Contribution to journalArticle

Denk, R, Dore, G, Hieber, MG, Prüss, J & Venni, A 2004, 'New thoughts on old results of R.T. Seeley', Mathematische Annalen, vol. 328, no. 4, pp. 545-583.
Denk R, Dore G, Hieber MG, Prüss J, Venni A. New thoughts on old results of R.T. Seeley. Mathematische Annalen. 2004 Apr;328(4):545-583.
Denk, Robert ; Dore, Giovanni ; Hieber, Matthias Georg ; Prüss, Jan ; Venni, Alberto. / New thoughts on old results of R.T. Seeley. In: Mathematische Annalen. 2004 ; Vol. 328, No. 4. pp. 545-583.
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