Logarithmic means \dots]{On the N\"orlund logarithmic means with respect to Vilenkin system in the martingale Hardy space $H_{1}$
L.-E. Persson, G. Tephnadze, P. Wall
TL;DR
This paper investigates the divergence behavior of N"orlund logarithmic means within the Vilenkin system in the Hardy space $H_1$, providing new insights into their convergence properties.
Contribution
It introduces a novel divergence result for N"orlund logarithmic means in the Vilenkin system on the Hardy space $H_1$, expanding understanding of their behavior.
Findings
Proves divergence of N"orlund logarithmic means in $H_1$
Provides new theoretical insights into Vilenkin systems
Enhances understanding of convergence properties in harmonic analysis
Abstract
In this paper we prove and discuss a new divergence result of N\"orlund logarithmic means with respect to Vilenkin system in Hardy space
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Harmonic Analysis Research · Differential Equations and Boundary Problems · Nonlinear Differential Equations Analysis