Triebel–Lizorkin–Morrey spaces and differences

Marc Hovemann

Mathematische Nachrichten, 2022, vol. 295, issue 4, 725-761

Abstract: We study the Triebel–Lizorkin–Morrey spaces Eu,p,qs(Rd)$\mathcal {E}^{s}_{u,p,q}\big ({\mathbb {R}}^d\big )$ and prove that under certain sufficient conditions on the parameters these spaces can be characterised in terms of higher‐order differences. Moreover we show that some of the mentioned conditions are also necessary.

Date: 2022
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