maximal operators of fejér means of walsh-kaczmarz-fourier series
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ID: 251496
2010
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Abstract
The main aim of this paper is to prove that there exists a martingale f∈ H1/2 such that the maximal Fejér operator with respect to Walsh-Kaczmarz system does not belong to the space L1/2. For the two-dimensional case, we prove that there exists a martingale f∈H1/2□(f∈H1/2) such that the restricted (unrestricted) maximal operator of Fejér means of two-dimensional Walsh-Kaczmarz-Fourier series does not belong to the space weak-L1/2.
| Reference Key |
goginava2010journalmaximal
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|---|---|
| Authors | ;Ushangi Goginava;Károly Nagy |
| Journal | Journal of sex research |
| Year | 2010 |
| DOI |
10.1155/2010/638327
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| URL | |
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