ON THE FOURIER-VILENKIN COEFFICIENTS

发布时间：2018-05-25 01:27

  本文选题：Vilenkin + system　； 参考：《Acta Mathematica Scientia(English Series)》2017年02期

【摘要】：In this article, we prove the following statement that is true for both unbounded and bounded Vilenkin systems: for any ε∈(0, 1), there exists a measurable set E 銰[0, 1)of measure bigger than 1-ε such that for any function f ∈ L~1[0, 1), it is possible to find a function g ∈ L~1[0, 1) coinciding with f on E and the absolute values of non zero Fourier coefficients of g with respect to the Vilenkin system are monotonically decreasing.
[Abstract]:In this article, we prove the following statement that is true for both unbounded and bounded Vilenkin systems: for any 蔚 鈭，

本文编号：1931470