On the -Characteristic of the Superposition Operator in Lebesgue Spaces with Mixed Norm
Cheng Chur-jen
Tunhai University, Taichung, TaiwanMartin Väth
Czech Academy of Sciences, Prague, Czech Republic
![On the $\mathcal L$-Characteristic of the Superposition Operator in Lebesgue Spaces with Mixed Norm cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-zaa-volume-16-issue-2.png&w=3840&q=90)
Abstract
We consider the superposition operator of functions of two variables in spaces with mixed norm . After establishing a necessary and sufficient acting condition, we get some conclusions on the -characteristic of . We also prove some theorems, which imply that is uniformly continuous on balls in the interior of its -characteristic.
Cite this article
Cheng Chur-jen, Martin Väth, On the -Characteristic of the Superposition Operator in Lebesgue Spaces with Mixed Norm. Z. Anal. Anwend. 16 (1997), no. 2, pp. 377–386
DOI 10.4171/ZAA/768