Geodesic
Maximal summability operators on the dyadic hardy spaces
Filomat, Tome 35 (2021) no. 7, p. 2189

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DOI

It is proved that the maximal operators of subsequences of Nörlund logarithmic means and Cesáro means with varying parameters of Walsh-Fourier series is bounded from the dyadic Hardy spaces H p to L p. This implies an almost everywhere convergence for the subsequences of the summability means
DOI : 10.2298/FIL2107189G
Classification : 42C10
Keywords: Walsh Systems, Hardy Spaces, Boundedness of Maximal Operators, Logarithmic Means, Cesàro Means 
Ushangi Goginava; Salem Ben Said. Maximal summability operators on the dyadic hardy spaces. Filomat, Tome 35 (2021) no. 7, p. 2189 . doi: 10.2298/FIL2107189G
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     title = {Maximal summability operators on the dyadic hardy spaces},
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     year = {2021},
     volume = {35},
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     doi = {10.2298/FIL2107189G},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2107189G/}
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