Hardy-Littlewood-Sobolev and Stein-Weiss inequalities on homogeneous Lie groups

Published 26 Oct 2018 in math.AP | (1810.11439v1)

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.

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