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 |