On the integrability of dyadic maximal Walsh series
In this paper we consider integrability conditions for dyadic maximal Walsh series. Namely, we give a condition on the coefficients of a Walsh series which is sufficient for the series being the Walsh-Fourier series of a function belonging to the dyadic Hardy space. In the classical trigonometric ca...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2015
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| Sorozat: | Acta scientiarum mathematicarum
81 No. 3-4 |
| Kulcsszavak: | Végtelen sor Walsh-sorok, Matematika |
| Tárgyszavak: | |
| mtmt: | http://dx.doi.org/10.14232/actasm-015-032-x |
| Online Access: | http://acta.bibl.u-szeged.hu/36386 |
| Tartalmi kivonat: | In this paper we consider integrability conditions for dyadic maximal Walsh series. Namely, we give a condition on the coefficients of a Walsh series which is sufficient for the series being the Walsh-Fourier series of a function belonging to the dyadic Hardy space. In the classical trigonometric case the analogous question involves the real periodic Hardy space. Then the problem leads to integrability conditions on both the trigonometric series and its conjugate, which in fact can be reduced to integrability conditions for cosine and sine series. |
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| Terjedelem/Fizikai jellemzők: | 561-574 |
| ISSN: | 0001-6969 |