Direct and Reverse Gagliardo–Nirenberg Inequalities from Logarithmic Sobolev Inequalities
Volume 53 / 2005
Bulletin Polish Acad. Sci. Math. 53 (2005), 323-336
MSC: 46A35, 26D10.
DOI: 10.4064/ba53-3-10
Abstract
We investigate the connection between certain logarithmic Sobolev inequalities and generalizations of Gagliardo–Nirenberg inequalities. A similar connection holds between reverse logarithmic Sobolev inequalities and a new class of reverse Gagliardo–Nirenberg inequalities.
