论文标题
在besov-Morrey和Triebel-Lizorkin-Morrey空间中截断
Truncation in Besov-Morrey and Triebel-Lizorkin-Morrey spaces
论文作者
论文摘要
我们将在某些条件下证明操作员$ t^{+} f = \ max（f，0）$和$ tf = | f | $是Triebel-Lizorkin-Morrey和Besov-Morrey空间上的有限映射。此外，我们将证明我们之前提到的一些条件也是必要的。此外，我们证明，对于$ p <u $，在许多情况下，Triebel-Lizorkin-Morrey空间没有Fubini属性。
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.
