The N-widths of spaces of holomorphic functions on bounded symmetric domains, II

Let <f>D</f> be a bounded symmetric domain and <f>Σ</f> be the Shilov boundary of <f>D</f>. For <f>λ∈W</f>, the Wallach set, and a nonnegative integer <f>l</f>, we study the weighted Bergman space <f>Aλ2(D)</f> and the weighted Bergman–Sobolev space <f>A2,λ,l(D)</f>. For <f>0<ρ<1</f> we obtain exact values of the Gel''fand and linear N-widths of <f>A2,λ,l(D)</f> in <f>C(ρΣ)</f>. We also obtain the Bernstein N-widths of the Hardy–Sobolev space <f>H∞,l(D)</f> in <f>Aλ2(ρD)</f>. [Copyright &y& Elsevier]