AbstractConsider the Hardy-type operator T: Lp(a,b)→Lp(a,b),-∞⩽a<b⩽∞, which is defined by(Tf)(x)=v(x)∫axu(t)f(t)dt.It is shown thatρn(T)=1nαp∫abu(x)v(x)+O(n-2),where ρn(T) stands for any of the following: the Kolmogorov n-width, the Gel’fand n-width, the Bernstein n-width or the nth approximation number of T
We present upper and lower estimates and an asymptotic result for the approximation numbers of the H...
AbstractWe prove that for a decreasing weight w, the following inequality is sharp:∫0∞(f⁎⁎(t)−f⁎(t))...
AbstractLet E be a compact subset of the open unit disc Δ and let Hq be the Hardy space of analytic ...
AbstractConsider the Hardy-type integral operator T:Lp(a,b)→Lp(a,b),−∞⩽a<b⩽∞, which is defined by(Tf...
AbstractThe Kolmogorov n-widths dn, Gel'fand n-widths dn, and linear n-widths δn of the Hardy spaces...
In [2] and [3] upper and lower estimates and asymptotic results were obtained for the approximation ...
Let I = [a, b] ⊂ R, let p: I → (1,∞) be either a step function or strong log-Hölder continuous on ...
AbstractWe provide a survey of the contributors of Des Evans dealing with operators T of the form TF...
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...
AbstractLet I=[a,b]⊂R, let 1<p⩽q<∞, let u and v be positive functions with u∈Lp′(I), v∈Lq(I) and let...
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...
AbstractUsing a variational principle for s-numbers, we obtain estimates for the linear, Gel′fand. a...
We present upper and lower estimates and an asymptotic result for the approximation numbers of the H...
AbstractWe prove that for a decreasing weight w, the following inequality is sharp:∫0∞(f⁎⁎(t)−f⁎(t))...
AbstractLet E be a compact subset of the open unit disc Δ and let Hq be the Hardy space of analytic ...
AbstractConsider the Hardy-type integral operator T:Lp(a,b)→Lp(a,b),−∞⩽a<b⩽∞, which is defined by(Tf...
AbstractThe Kolmogorov n-widths dn, Gel'fand n-widths dn, and linear n-widths δn of the Hardy spaces...
In [2] and [3] upper and lower estimates and asymptotic results were obtained for the approximation ...
Let I = [a, b] ⊂ R, let p: I → (1,∞) be either a step function or strong log-Hölder continuous on ...
AbstractWe provide a survey of the contributors of Des Evans dealing with operators T of the form TF...
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...
AbstractLet I=[a,b]⊂R, let 1<p⩽q<∞, let u and v be positive functions with u∈Lp′(I), v∈Lq(I) and let...
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...
AbstractUsing a variational principle for s-numbers, we obtain estimates for the linear, Gel′fand. a...
We present upper and lower estimates and an asymptotic result for the approximation numbers of the H...
AbstractWe prove that for a decreasing weight w, the following inequality is sharp:∫0∞(f⁎⁎(t)−f⁎(t))...
AbstractLet E be a compact subset of the open unit disc Δ and let Hq be the Hardy space of analytic ...
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