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.
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Original Russian Text Copyright © 2013 Astashkin S.V., Maligranda L., and Sukhanov R.S.
The first author was supported by the Russian Foundation for Basic Research (Grant 10-01-00077).
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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 54, No. 2, pp. 270–278, March–April, 2013.
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Astashkin, S.V., Maligranda, L. & Sukhanov, R.S. Sequences of independent Walsh functions in BMO. Sib Math J 54, 205–211 (2013). https://doi.org/10.1134/S0037446613020031
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DOI: https://doi.org/10.1134/S0037446613020031