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. 377–386DOI 10.4171/ZAA/768