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Sobolev and Besov Spaces

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Semigroups, Boundary Value Problems and Markov Processes

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Abstract

Chapter 6 is devoted to the precise definitions and statements of Sobolev and Besov spaces of L p type with some detailed proofs. One of the most useful ways of measuring differentiability properties of functions is in terms of

$$L^{p}$$

norms, and is provided by the Sobolev spaces. The great advantage of this approach lies in the fact that the Fourier transform works very well.

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Taira, K. (2014). Sobolev and Besov Spaces. In: Semigroups, Boundary Value Problems and Markov Processes. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-43696-7_6

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