AbstractLet D be a bounded symmetric domain and Σ be the Shilov boundary of D. For λ∈W, the Wallach set, and a nonnegative integer l, we study the weighted Bergman space Aλ2(D) and the weighted Bergman–Sobolev space A2,λ,l(D). For 0<ρ<1 we obtain exact values of the Gel'fand and linear N-widths of A2,λ,l(D) in C(ρΣ). We also obtain the Bernstein N-widths of the Hardy–Sobolev space H∞,l(D) in Aλ2(ρD)
AbstractThe Kolmogorov n-widths dn, Gel'fand n-widths dn, and linear n-widths δn of the Hardy spaces...
AbstractLet W and V be centrally symmetric sets in a normed space X. The relative Kolmogorov n-width...
We consider some classes of 2À-periodic convolution functions B˜p, and K˜p, which include th...
AbstractLet D be a bounded symmetric domain and Σ be the Shilov boundary of D. For λ∈W, the Wallach ...
AbstractLet D be a bounded symmetric domain of tube type and Σ be the Shilov boundary of D. Denote b...
AbstractWe consider the classes of holomorphic functions whose radial derivative of order r lies in ...
AbstractWe consider the classes of holomorphic functions whose radial derivative of order r lies in ...
The first part will be devoted to a presentation of several approaches to bounded symmetric domains....
AbstractLet B denote the unit ball in Cn with boundary S and let σ(v) be the standard normalized mea...
AbstractLet B denote the unit ball in Cn with boundary S and let σ(v) be the standard normalized mea...
AbstractUsing a variational principle for s-numbers, we obtain estimates for the linear, Gel′fand. a...
AbstractFor 0<p,α<∞, let ‖f‖p,α be the Lp-norm with respect the weighted measure dVα(z)=δD(z)α−1dV(z...
AbstractUsing a variational principle for s-numbers, we obtain estimates for the linear, Gel′fand. a...
AbstractWe study the Kolmogorov n-widths dn(BWp,μr,Lq,μ) and the linear n-widths δn(BWp,μr,Lq,μ) of ...
We show that there are many sets in the boundary of a bounded symmetric domain that determine the va...
AbstractThe Kolmogorov n-widths dn, Gel'fand n-widths dn, and linear n-widths δn of the Hardy spaces...
AbstractLet W and V be centrally symmetric sets in a normed space X. The relative Kolmogorov n-width...
We consider some classes of 2À-periodic convolution functions B˜p, and K˜p, which include th...
AbstractLet D be a bounded symmetric domain and Σ be the Shilov boundary of D. For λ∈W, the Wallach ...
AbstractLet D be a bounded symmetric domain of tube type and Σ be the Shilov boundary of D. Denote b...
AbstractWe consider the classes of holomorphic functions whose radial derivative of order r lies in ...
AbstractWe consider the classes of holomorphic functions whose radial derivative of order r lies in ...
The first part will be devoted to a presentation of several approaches to bounded symmetric domains....
AbstractLet B denote the unit ball in Cn with boundary S and let σ(v) be the standard normalized mea...
AbstractLet B denote the unit ball in Cn with boundary S and let σ(v) be the standard normalized mea...
AbstractUsing a variational principle for s-numbers, we obtain estimates for the linear, Gel′fand. a...
AbstractFor 0<p,α<∞, let ‖f‖p,α be the Lp-norm with respect the weighted measure dVα(z)=δD(z)α−1dV(z...
AbstractUsing a variational principle for s-numbers, we obtain estimates for the linear, Gel′fand. a...
AbstractWe study the Kolmogorov n-widths dn(BWp,μr,Lq,μ) and the linear n-widths δn(BWp,μr,Lq,μ) of ...
We show that there are many sets in the boundary of a bounded symmetric domain that determine the va...
AbstractThe Kolmogorov n-widths dn, Gel'fand n-widths dn, and linear n-widths δn of the Hardy spaces...
AbstractLet W and V be centrally symmetric sets in a normed space X. The relative Kolmogorov n-width...
We consider some classes of 2À-periodic convolution functions B˜p, and K˜p, which include th...