A refinement of a Hardy type inequality for negative exponents, and sharp applications to Muckenhoupt weights on $\mathbb R$
Volume 157 / 2019
Colloquium Mathematicum 157 (2019), 295-308
MSC: Primary 26D15; Secondary 42B25.
DOI: 10.4064/cm7579-8-2018
Published online: 3 June 2019
Abstract
We prove a sharp integral inequality that generalizes the well known Hardy type integral inequality for negative exponents. We also give sharp applications in two directions for Muckenhoupt weights on $\mathbb R$. This work refines the results of Nikolidakis (2014).
