%0 Journal Article
%T -bounded sequences in function spaces
%A S. Ya. Novikov
%J Journal of Function Spaces and Applications
%D 2003
%I Hindawi Publishing Corporation
%R 10.1155/2003/935641
%X A sequence of measurable functions {fn} is called lp,q-bounded sequence, 0<p<∞,  0<q≤∞, if for any sequence of real numbers a={αn}∈lp,q we have sup⁡n⁡|αnFn(ω)|<∞  ω-a.e., for any sequence {Fn} such that for every n functions fn anf Fn are equimeasurable. The main result gives necessary and sufficient conditions for the sequence being lp,q-bounded.
%U http://www.hindawi.com/journals/jfsa/2003/935641/abs/