Ruzhansky, Michael; Suragan, Durvudkhan; Yessirkegenov, Nurgissa
(Springer, 2020-06-10)
In this paper we describe the Euler semigroup {e−tE∗E}t>0 on homogeneous Lie groups, which allows us to obtain various types of the Hardy–Sobolev and Gagliardo–Nirenberg type inequalities for the Euler operator E. Moreover, ...