Geodesic
Averaging of Fourier–Haar coefficients
Sbornik. Mathematics, Tome 190 (1999) no. 10, pp. 1449-1463 
S. Montgomery-Smith; E. M. Semenov. Averaging of Fourier–Haar coefficients. Sbornik. Mathematics, Tome 190 (1999) no. 10, pp. 1449-1463. http://geodesic.mathdoc.fr/item/SM_1999_190_10_a2/
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     title = {Averaging of {Fourier{\textendash}Haar} coefficients},
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     volume = {190},
     number = {10},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1999_190_10_a2/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

An operator defined by averaging of the Fourier–Haar coefficients of a function is studied. A criterion for the boundedness of such an operator acting in a pair of rearrangement-invariant spaces is derived.

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