Norm convergence of Fejér means of two-dimensional Walsh-Fourier series
Ushangi Goginava
Banach Center Publications, Tome 95 (2011), p. 317-324 / Harvested from The Polish Digital Mathematics Library
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The main aim of this paper is to prove that there exists a martingale f∈H1/2 such that the Fejér means of the two-dimensional Walsh-Fourier series of f is not uniformly bounded in the space weak-L1/2.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:281776 
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     author = {Ushangi Goginava},
     title = {Norm convergence of Fej\'er means of two-dimensional Walsh-Fourier series},
     journal = {Banach Center Publications},
     volume = {95},
     year = {2011},
     pages = {317-324},
     zbl = {1246.42023},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc95-0-18}
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Ushangi Goginava. Norm convergence of Fejér means of two-dimensional Walsh-Fourier series. Banach Center Publications, Tome 95 (2011) pp. 317-324. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc95-0-18/