Email this article On the Quasi-greedy Constant of the Haar Subsystems in L1(0, 1)
- Authors: Gogyan S.1, Srapionyan N.2
-
Affiliations:
- Institute of Mathematics of National Academy of Sciences of Armenia
- Yerevan State University
- Issue: Vol 54, No 2 (2019)
- Pages: 124-128
- Section: Real and Complex Analysis
- URL: https://journals.rcsi.science/1068-3623/article/view/228314
- DOI: https://doi.org/10.3103/S1068362319020092
- ID: 228314
Cite item
Open Access
Access granted
Subscription Access
Abstract
In this paper, we estimate the quasi-greedy constant for quasi-greedy subsystems of the Haar system in L1(0, 1). All quasi-greedy subsystems of the Haar system are characterized in [4]. The characterization is based on the length of the chains, which is introduced in [5]. In [4], the estimate G(H) ≤ C · 2H was obtainedwith H being the length of the longest chain of the subsystem. In this paper, we improve this estimate and show that H/16 ≤ G(H) ≤ 2H + 1.
About the authors
S. Gogyan
Institute of Mathematics of National Academy of Sciences of Armenia
Author for correspondence.
Email: gogyan@instmath.sci.am
Armenia, Yerevan
N. Srapionyan
Yerevan State University
Author for correspondence.
Email: nerses.srapionyan@gmail.com
Armenia, Yerevan
