Gagliardo–Nirenberg inequalities in weighted Orlicz spaces
Volume 173 / 2006
Studia Mathematica 173 (2006), 49-71
MSC: Primary 26D10; Secondary 46E35, 46E30.
DOI: 10.4064/sm173-1-4
Abstract
We derive inequalities of Gagliardo–Nirenberg type in weighted Orlicz spaces on $\mathbb R^n$, for maximal functions of derivatives and for the derivatives themselves. This is done by an application of pointwise interpolation inequalities obtained previously by the first author and of Muckenhoupt–Bloom–Kerman-type theorems for maximal functions.
