A SIMPLE PROOF OF THE ADAMS TYPE INEQUALITIES IN R~(2m)

摘要

We provide the simple proof of the Adams type inequalities in whole space R~(2m). The main tools are the Fourier rearrangement technique introduced by Lenzmann and Sok [16], a Hardy-Rellich type inequality for radial functions, and the sharp Moser-Trudinger type inequalities in R~2.