S. V. Astashkin, L. Maligranda, R. S. Sukhanov, “Sequences of independent Walsh functions in BMO”, Sibirsk. Mat. Zh., 2013, Volume 54, Number 2,Pages <nobr>270

Sequences of independent Walsh functions in BMO

S. V. Astashkin^a, L. Maligranda^b, R. S. Sukhanov^a

^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.

UDC: 517.982.22+517.518.36

Received: 19.01.2012