RUS  ENG
Full version
JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive
Trudy Mat. Inst. Steklova, 2020 Volume 311, Pages 164–182 (Mi tm4117)
This article is cited in 4 papers

Weakly Lacunary Orthogonal Systems and Properties of the Maximal Partial Sum Operator for Subsystems

B. S. Kashinab, I. V. Limonovabc

a Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
b Moscow Center for Fundamental and Applied Mathematics, Moscow, 119991 Russia
c Laboratory “High-Dimensional Approximation and Applications,” Lomonosov Moscow State University, Leninskie Gory 1, Moscow, 119991 Russia

Abstract: For a finite orthogonal system of uniformly bounded functions, we establish the existence of sufficiently dense subsystems with the lacunarity property and a good norm estimate for the maximal partial sum operator.

UDC: 517.5

Received: December 27, 2019
Revised: April 7, 2020
Accepted: May 26, 2020

DOI: 10.4213/tm4117


 English version: Proceedings of the Steklov Institute of Mathematics, 2020, 311, 152–170

Bibliographic databases:

© Steklov Math. Inst. of RAS, 2025