-calculus for the sum of non-commuting operators |
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Authors: | Jan Prü ss Gieri Simonett |
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Affiliation: | Fachbereich Mathematik und Informatik, Martin-Luther-Universität Halle-Wittenberg, D-60120 Halle, Germany ; Department of Mathematics, Vanderbilt University, Nashville, Tennessee 37240 |
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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 -calculus. The main results are then applied to a parabolic problem on a wedge domain. |
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