The martingale Smirnov class
- Autores: M. Nawrocki
- Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 48, Fasc. 4-6, 1997, págs. 713-724
- Idioma: inglés
- Enlaces
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Resumen
The Smirnov class $N_\ast(\delta)$ of dyadic martingales is studied. Continuous linear functionals on this class and its Fréchet envelope are described. It is proved that, in contrast to the case of $H^p$-spaces, the space $N_\ast(\delta)$ is not isomorphic to the Smirnov class of holomorphic functions on the unit disc. Finally, atomic decompositions of elements of $N_\ast(\delta)$ are obtained.
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