Dilation-commuting operators on power-weighted Orlicz classes

Ron Kerman, Rama Rawat, Rajesh K. Singh

Let ${\Phi }_1$ and ${\Phi }_2$ be nondecreasing functions from ${\mathbb{R}}_{+}=(0,\infty )$ onto itself. For $i=1,2$ and $\gamma \in \mathbb{R}$, define the Orlicz class $L_{{\Phi }_i}({\mathbb{R}}_{+})$ to b…