Journal of Operator Theory

Volume 36, Issue 2, Fall 1996 pp. 283-294.

Global resolvent estimates for multiplication operators

Authors: Marius Măntoiu (1) and M. Pascu (2)
Author institution:(1) Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, RO-70700 Bucharest, ROMANIA
(2) Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, RO-70700 Bucharest, ROMANIA

Summary: We give a method to obtain global smoothness estimates and boundary values of the resolvent for a large class of multiplication operators. It relies on the positivity of a commutator and the method of differential inequalities.

Keywords: Boundary values of the resolvent, conjugate operator, smooth operator, multiplication operator.

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