Jacob's ladders, existence of almost linear increments of the Hardy-Littlewood integral and new types of multiplicative laws

2023/04/18 by Jan Moser, Moser, Jan
Mathematics · #Advanced Harmonic Analysis Research #Advanced Topology and Set Theory #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.2304.09267

openalex publication_date 2023/04/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we prove that there is a continuum set of increments with some minimal structure for the Hardy - Littlewood integral. The result implies a number of new properties of the Hardy - Littlewood integral.

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