Convergence in Measure of Logarithmic Means of Quadratical Partial Sums of Double Walsh-Kaczmarz-Fourier Series
| Autor: | Ushangi Goginava, Károly Nagy |
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| Jazyk: | angličtina |
| Rok vydání: | 2012 |
| Předmět: | |
| Zdroj: | Journal of Function Spaces and Applications, Vol 2012 (2012) |
| Druh dokumentu: | article |
| ISSN: | 0972-6802 1758-4965 |
| DOI: | 10.1155/2012/582726 |
| Popis: | The main aim of this paper is to prove that the logarithmic means of quadratical partial sums of the double Walsh-Kaczmarz series does not improve the convergence in measure. In other words, we prove that for any Orlicz space, which is not a subspace of L log+ L(I2), the set of the functions the logarithmic means of quadratical partial sums of the double Walsh-Kaczmarz series of which converge in measure is of first Baire category. |
| Databáze: | Directory of Open Access Journals |
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