Geodesic
Averaging of Fourier--Haar coefficients
Sbornik. Mathematics, Tome 190 (1999) no. 10, pp. 1449-1463

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. 
@article{SM_1999_190_10_a2,
     author = {S. Montgomery-Smith and E. M. Semenov},
     title = {Averaging of {Fourier--Haar} coefficients},
     journal = {Sbornik. Mathematics},
     pages = {1449--1463},
     publisher = {mathdoc},
     volume = {190},
     number = {10},
     year = {1999},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1999_190_10_a2/}
}
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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/