Stein-Weiss-Adams inequality on Morrey spaces

We establish Adams type Stein-Weiss inequality on global Morrey spaces on general homogeneous groups. Special properties of homogeneous norms and some boundedness results on global Morrey spaces play key roles in our proofs. As consequence, we obtain fractional Hardy, Hardy-Sobolev, Rellich and Gagliardo-Nirenb erg inequalities on Morrey spaces on stratified groups. While the results are obtained in the setting of general homogeneous groups, they are new already for the Euclidean space RN.(c) 2023 Elsevier Inc. All rights reserved.

Automated summary

In this study, we establish the Adams type Stein-Weiss inequality on general homogeneous groups and demonstrate its applications on Morrey spaces. These results are not only new for general homogeneous groups, but also for the Euclidean space.