Geodesic
About the boundedness of the Fourier--Haar multiplicators
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 2 (2010), pp. 24-31

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The boundedness of the Fourier–Haar multiplicators defined by the sequence $\lambda_{k,i}=\varepsilon_k=\pm 1,\;i=m$ and $\lambda_{k,i}=1$, if $i\neq m$, $m\in \mathbb N$, $m\geqslant 2$ is considered. The equivalent conditions to the unconditional basis of the Haar system are received.
Keywords: Haar system, rearrangement invariant space, multiplicators, absolute basis, series of the Fourier–Haar. 
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     author = {R. Zh. Gamil'yanov and R. F. Uzbekov},
     title = {About the boundedness of the {Fourier--Haar} multiplicators},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {24--31},
     publisher = {mathdoc},
     number = {2},
     year = {2010},
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     url = {http://geodesic.mathdoc.fr/item/VSGU_2010_2_a2/}
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R. Zh. Gamil'yanov; R. F. Uzbekov. About the boundedness of the Fourier--Haar multiplicators. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 2 (2010), pp. 24-31. http://geodesic.mathdoc.fr/item/VSGU_2010_2_a2/