Boundness of Some Multilinear Fractional Integral Operators in Generalized Morrey Spaces on Stratified Lie Groups

Abstract

In this paper, the main aim is to consider the Spanne-type boundedness of the multiliinear fractional integral operator ${\mathcal{I}}_{\alpha ,m}$ and multiliinear fractional maximal operator ${\mathcal{M}}_{\alpha ,m}$ in the generalized Morrey spaces over some stratified Lie group $\mathbb{G}$.

arXiv admin note: substantial text overlap with arXiv:2206.08340