Weighted variable $L^p$ integral inequalities for the maximal operator on non-increasing functions
Volume 192 / 2009
Studia Mathematica 192 (2009), 51-60
MSC: Primary 42B25.
DOI: 10.4064/sm192-1-5
Abstract
Let $B_p$ be the Ariõ–Muckenhoupt weight class which controls the weighted $L^p$-norm inequalities for the Hardy operator on non-increasing functions. We replace the constant $p$ by a function $p(x)$ and examine the associated $L^{p(x)}$-norm inequalities of the Hardy operator.
