The H∞-Calculus and Sum of Closed Operators
Dr. Adam M. Ali

Abstract
We apply the general operator – valued functional calculus to the joint functional calculus of two sectorial operators . We give the optimal order of smoothness in the Mihlin and Hormander conditions for operator – valued Fourier multiplier theorems . We give an extended estimate that shows the integral converges to a Bachner integral. More generally we also extended a series of H∞-sectorial operators has an Lp maximal regularity.

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