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Functional calculi for linear operators in vector-valued \(L^p\)-spaces via the transference principle. (English) Zbl 0956.47008
Via transference principle due to Coifman and Weiss the authors investigate the \(H^\infty\)-calculi for linear operators in vector-valued spaces \(X=L^p(\Omega,\mu,Y)\), \(1<p<\infty\), where \((\Omega,\mu)\) is a measure space and \(Y\) is a Banach space of class \({\mathcal HT}\).
Reviewer: N.Bozhinov (Sofia)

MSC:
47A60 Functional calculus for linear operators
35J25 Boundary value problems for second-order elliptic equations
35J40 Boundary value problems for higher-order elliptic equations
42B15 Multipliers for harmonic analysis in several variables
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