Transactions of the American Mathematical Society

Author(s): Jan Prüss; Gieri Simonett
Journal: Trans. Amer. Math. Soc. 359 (2007), 3549-3565.
MSC (2000): Primary 47A60, 47N20, 35K20
Posted: March 20, 2007
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Abstract: A recent result of Kalton and Weis is extended to the case of non-commuting operators, employing the commutator condition of Labbas and Terreni, or of Da Prato and Grisvard. Under appropriate assumptions it is shown that the sum of two non-commuting operators admits an $\mathcal H^\infty$ -calculus. The main results are then applied to a parabolic problem on a wedge domain.

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Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 47A60, 47N20, 35K20

Jan Prüss
Affiliation: Fachbereich Mathematik und Informatik, Martin-Luther-Universität Halle-Wittenberg, D-60120 Halle, Germany
Email: jan.pruess@mathematik.uni-halle.de

Gieri Simonett
Affiliation: Department of Mathematics, Vanderbilt University, Nashville, Tennessee 37240
Email: gieri.simonett@vanderbilt.edu

DOI: 10.1090/S0002-9947-07-04291-2
PII: S 0002-9947(07)04291-2
Received by editor(s): December 28, 2003
Posted: March 20, 2007
Copyright of article: Copyright 2007, American Mathematical Society

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