AbstractLet E be a closed subset of the open unit disk G={z:|z|<1}, and let μ be a positive Borel measure with support supp μ=E. Denote by Ap the restriction on E of the closed unit ball of the Hardy space Hp(G), 1⩽p⩽∞. In this paper we investigate orthogonality properties of the extremal functions associated with the Kolmogorov, Gelfand, and linear n-widths of Ap in Lq(μ,E), 1⩽q<∞, q⩽p
Let X be a metric space with doubling measure and L a one-to-one operator of type ω having a bounded...
AbstractLet Sd−1≔{(x1,…,xd)∈Rd:x21+···+x2d=1} be the unit sphere of the d-dimensional Euclidean spac...
AbstractWe consider the classes of holomorphic functions whose radial derivative of order r lies in ...
AbstractLet E be a closed subset of the open unit disk G={z:|z|<1}, and let μ be a positive Borel me...
AbstractLet E be a compact subset of the open unit disc Δ and let Hq be the Hardy space of analytic ...
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...
AbstractThe n-widths of the unit ball Ap of the Hardy space Hp in Lq( −1, 1) are determined asymptot...
AbstractThe n-widths of the unit ball Ap of the Hardy space Hp in Lq( −1, 1) are determined asymptot...
AbstractThe Kolmogorov n-widths dn, Gel'fand n-widths dn, and linear n-widths δn of the Hardy spaces...
AbstractLetBH∞(Ω) be the space of analytic functionsfin the region Ω for which |f(z)| ≤ 1,z∈ Ω, and ...
AbstractLetBH∞(Ω) be the space of analytic functionsfin the region Ω for which |f(z)| ≤ 1,z∈ Ω, and ...
AbstractLetθbe an inner function and letΛbe a Blaschke sequence in the unit disc. Denote byBthe Blas...
AbstractConsider the Hardy-type operator T: Lp(a,b)→Lp(a,b),-∞⩽a<b⩽∞, which is defined by(Tf)(x)=v(x...
AbstractThe concepts of three ∞-widths are proposed and some of their properties are studied in this...
Let X be a metric space with doubling measure and L a one-to-one operator of type ω having a bounded...
AbstractLet Sd−1≔{(x1,…,xd)∈Rd:x21+···+x2d=1} be the unit sphere of the d-dimensional Euclidean spac...
AbstractWe consider the classes of holomorphic functions whose radial derivative of order r lies in ...
AbstractLet E be a closed subset of the open unit disk G={z:|z|<1}, and let μ be a positive Borel me...
AbstractLet E be a compact subset of the open unit disc Δ and let Hq be the Hardy space of analytic ...
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...
AbstractThe n-widths of the unit ball Ap of the Hardy space Hp in Lq( −1, 1) are determined asymptot...
AbstractThe n-widths of the unit ball Ap of the Hardy space Hp in Lq( −1, 1) are determined asymptot...
AbstractThe Kolmogorov n-widths dn, Gel'fand n-widths dn, and linear n-widths δn of the Hardy spaces...
AbstractLetBH∞(Ω) be the space of analytic functionsfin the region Ω for which |f(z)| ≤ 1,z∈ Ω, and ...
AbstractLetBH∞(Ω) be the space of analytic functionsfin the region Ω for which |f(z)| ≤ 1,z∈ Ω, and ...
AbstractLetθbe an inner function and letΛbe a Blaschke sequence in the unit disc. Denote byBthe Blas...
AbstractConsider the Hardy-type operator T: Lp(a,b)→Lp(a,b),-∞⩽a<b⩽∞, which is defined by(Tf)(x)=v(x...
AbstractThe concepts of three ∞-widths are proposed and some of their properties are studied in this...
Let X be a metric space with doubling measure and L a one-to-one operator of type ω having a bounded...
AbstractLet Sd−1≔{(x1,…,xd)∈Rd:x21+···+x2d=1} be the unit sphere of the d-dimensional Euclidean spac...
AbstractWe consider the classes of holomorphic functions whose radial derivative of order r lies in ...
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