On Carleson's inequality

J Inequal Appl. 2018;2018(1):91. doi: 10.1186/s13660-018-1682-2. Epub 2018 Apr 19.

Abstract

We present a new proof of Hardy's inequality by giving an [Formula: see text] version of Carleson's inequality.

Keywords: Carleson’s inequality; Hardy inequality; Polya–Knopp inequality.