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Weakly Lacunary Orthogonal Systems and Properties of the Maximal Partial Sum Operator for Subsystems
Proceedings of the Steklov Institute of Mathematics ( IF 0.5 ) Pub Date : 2021-02-02 , DOI: 10.1134/s0081543820060097 B. S. Kashin , I. V. Limonova
中文翻译:
子系统的弱局部正交系统和最大部分和算子的性质
更新日期:2021-02-02
Proceedings of the Steklov Institute of Mathematics ( IF 0.5 ) Pub Date : 2021-02-02 , DOI: 10.1134/s0081543820060097 B. S. Kashin , I. V. Limonova
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.
中文翻译:
子系统的弱局部正交系统和最大部分和算子的性质
摘要
对于具有均匀有界函数的有限正交系统,我们建立了具有稠密性和最大偏和算子的良好范数估计的足够稠密子系统的存在。