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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
##### Keywords:
functional calculus; transference principle