Abstract
We consider pseudodifferential operators with operator valued symbols a(x,ξ) acting on a UMD Banach space X. Assuming some regularity of Holder type in x and Mihlin type in ξ we prove L p (ℝ n ;X) boundedness of such operators. This result is then applied to the study of L p -maximal regularity for nonautonomous parabolic evolution equations.
Published Version
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