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Sibirskii Matematicheskii Zhurnal, 2013, Volume 54, Number 2, Pages 270–278
(Mi smj2418)
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Sequences of independent Walsh functions in BMO
S. V. Astashkina, L. Maligrandab, R. S. Sukhanova a Samara State University, Samara, Russia
b Luleå University of Technology, Luleå, Sweden
Abstract:
Under examination are the sequences of independent Walsh functions in the space of functions of bounded mean oscillation. We study geometric properties of the subspaces spanned by the sequences; in particular, some necessary and sufficient conditions are found for such a subspace to be complemented.
Keywords:
Rademacher functions, Walsh functions, space of functions of bounded mean oscillation, complemented subspace.
Received: 19.01.2012
Citation:
S. V. Astashkin, L. Maligranda, R. S. Sukhanov, “Sequences of independent Walsh functions in BMO”, Sibirsk. Mat. Zh., 54:2 (2013), 270–278; Siberian Math. J., 54:2 (2013), 205–211
Linking options:
https://www.mathnet.ru/eng/smj2418 https://www.mathnet.ru/eng/smj/v54/i2/p270
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Abstract page: | 312 | Full-text PDF : | 88 | References: | 37 | First page: | 8 |
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