A direct proof of the weighted Pólya–Knopp inequality following Carleson’s method

The aim of the paper is to provide a direct proof of the weighted Pólya–Knopp inequality. This inequality (which is a limiting case of the Ariño–Muckenhoupt inequalities), involving non-increasing functions, was initially established by Sbordone–Wik, who proved its validity under the necessary and s...

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Bibliographic Details
Main Authors: Kondo, Emu, Moritoh, Shinya, Tanaka, Yumi
Format: Article
Language:English
Published: Académie des sciences 2025-06-01
Series:Comptes Rendus. Mathématique
Subjects:
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.745/
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