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arXiv · 2010.09339

Truncation in Besov-Morrey and Triebel-Lizorkin-Morrey spaces

Marc Hovemann
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Abstract

We will prove that under certain conditions on the parameters the operators $T^{+}f = \max(f,0)$ and $ Tf = |f| $ are bounded mappings on the Triebel-Lizorkin-Morrey and Besov-Morrey spaces. Moreover we will show that some of the conditions we mentioned before are also necessary. Furthermore we prove that for $p < u $ in many cases the Triebel-Lizorkin-Morrey spaces do not have the Fubini property.

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Marc Hovemann. 2020-10-19. Truncation in Besov-Morrey and Triebel-Lizorkin-Morrey spaces. https://arxiv.org/abs/2010.09339

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