On linear widths of classesH ω

We obtain new results related to the estimation of the linear widths λ _N and λ ^N in the spacesC andL _p for the classesH ^ω (in particular, forH ^α, 0<α<1). Institute of Mathematics, Ukrainian Academy of Sciences, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 48, No. 9, pp. 1255–1264, September, 1996.