A. V. Meleshkina, “Fourier Coefficients of Characteristic Functions of Intervals with Respect to a Complete Orthonormal System Bounded in $L^p([0,1])$, $2<p<\infty$”, Mat. Zametki, 2015, Volume 97, Issue 4,Pages 632

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Brief Communications

Fourier Coefficients of Characteristic Functions of Intervals with Respect to a Complete Orthonormal System Bounded in $L^p([0,1])$, $2<p<\infty$

A. V. Meleshkina^ab

^a Lomonosov Moscow State University, Moscow, Russia
^b Steklov Mathematical Institute, Moscow, Russia

Keywords: complete orthonormal system, characteristic functions of intervals, Haar system, Fourier coefficients, the spaces $L^p([0,1])$, $2<p<\infty$, Hölder's inequality.

Received: 29.12.2014

DOI: 10.4213/mzm10647