On a Variant of the Gagliardo–Nirenberg Inequality Deduced from the Hardy Inequality
Volume 59 / 2011
Bulletin Polish Acad. Sci. Math. 59 (2011), 133-149
MSC: Primary 26D10; Secondary 46E35, 54C30, 35A25.
DOI: 10.4064/ba59-2-4
Abstract
We obtain new variants of weighted Gagliardo–Nirenberg interpolation inequalities in Orlicz spaces, as a consequence of weighted Hardy-type inequalities. The weights we consider need not be doubling.
