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Triebel-Lizorkin spaces and the L p -L q -setting

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General Parabolic Mixed Order Systems in Lp and Applications

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 239))

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Abstract

In this chapter we want to generalize the results of Section 2.3 on mixed-order systems to the scale of Triebel-Lizorkin spaces. Triebel-Lizorkin spaces naturally appear in parabolic L p -L q -theory as the trace spaces of the solution.

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Denk, R., Kaip, M. (2013). Triebel-Lizorkin spaces and the L p -L q -setting. In: General Parabolic Mixed Order Systems in Lp and Applications. Operator Theory: Advances and Applications, vol 239. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-02000-6_4

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