2000 character limit reached
Hardy-Littlewood-Sobolev and Stein-Weiss inequalities on homogeneous Lie groups (1810.11439v1)
Published 26 Oct 2018 in math.AP
Abstract: In this note we prove the Stein-Weiss inequality on general homogeneous Lie groups. The obtained results extend previously known inequalities. Special properties of homogeneous norms play a key role in our proofs. Also, we give a simple proof of the Hardy-Littlewood-Sobolev inequality on general homogeneous Lie groups.
Collections
Sign up for free to add this paper to one or more collections.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.