Titlebook: Analysis in Banach Spaces; Volume III: Harmonic Tuomas Hytönen,Jan van Neerven,Lutz Weis Book 2023 Springer Nature Switzerland AG 2023 Sing

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https://doi.org/10.1007/978-3-8348-9436-6In this chapter we address a couple of topics in the theory of .-calculus centering around the question what can be said about an operator of the form . when . and . have certain “good” properties such as being (R-)sectorial or admitting a bounded .-calculus.

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Skalierung der Zustandsvariablen,As we have seen in the preceding sections, in the context of inhomogeneous linear evolution equations, maximal regularity enables one to set up an isomorphism between the space of data (initial value and inhomogeneity) and the solution space.

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The Fourier transform and multipliers,In this chapter, we complement the discussion of three major themes of Fourier analysis that we have studied in the previous Volumes.

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Function spaces,This chapter presents an in-depth study of several classes of vector-valued function spaces defined by smoothness conditions.

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