ON A PROPERTY OF GENERAL HAAR SYSTEM

A.Kh. Kobelyan

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Abstract

In the paper we prove that for some type of general Haar systems (particularly for classical Haar system) and for any ε>0 there exists a set {E⊂(0,1)2,|E|>1−ε}, such that for every f∈L1(0,1)2 one can find a function g∈L1(0,1)2, which coincides with f on E and Fourier–Haar coefficients {c(i,k)(g)}i,k=1∞ are monotonic over all rays.

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ON A PROPERTY OF GENERAL HAAR SYSTEM

Abstract

Author(s)

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ON A PROPERTY OF GENERAL HAAR SYSTEM

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