Abstract
We present definitions, interpolation results and various inclusion and trace theorems for the Sobolev and Besov spaces; our approach follows Peetre [5]. In the first section, we introduce briefly the Fourier multipliers on L p , and we prove the Mihlin multiplier theorem. In Section 8, we discuss interpolation of semi-groups of operators. Many other topics are touched upon in the notes and comment, e.g., interpolation of Hardy spaces H p .
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© 1976 Springer-Verlag Berlin Heidelberg
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Bergh, J., Löfström, J. (1976). Interpolation of Sobolev and Besov Spaces. In: Interpolation Spaces. Grundlehren der mathematischen Wissenschaften, vol 223. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-66451-9_6
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DOI: https://doi.org/10.1007/978-3-642-66451-9_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-66453-3
Online ISBN: 978-3-642-66451-9
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