Titlebook: Lp-Theory of Cylindrical Boundary Value Problems; An Operator-Valued F Tobias Nau Book 2012 Springer Spektrum | Springer Fachmedien Wiesbad

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-boundedness and operator-valued Fourier multiplier theorems, concept of .-boundedness which we introduce next. With .-boundedness at hand, conditions can be deduced which make sure that a function defines a Fourier multiplier. Besides that, .-boundedness is as well involved in necessary conditions for Fourier multipliers.

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Classes of operators and Dunford functional calculus,ms. For later application we will distinguish between injective and non-injective operators. It starts with the classes of pseudo-sectorial and sectorial operators which allow for a Dunford functional calculus. With .-boundedness from Chapter 3 at hand, the class of operators admitting an .-bounded

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The functional calculus approach,re considered. Secondly, with a Banach space ., the cylindrical boundary value problems are .-valued and contain .(.)-valued coefficients. Here we employ the operator-valued Dunford calculus and the Kalton-Weis-Theorem. Again we first consider rather arbitrary cylindrical boundary value problems and

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