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arXiv · 1507.08854

Some $s$-numbers of an integral operator of Hardy type in Banach function spaces

David Edmunds·Amiran Gogatishvili·Tengiz Kopaliani·Nino Samashvili
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Abstract

Let $s_{n}(T)$ denote the $n$th approximation, isomorphism, Gelfand, Kolmogorov or Bernstein number of the Hardy-type integral operator $T$ given by $$ Tf(x)=v(x)\int_{a}^{x}u(t)f(t)dt,\,\,\,x\in(a,b)\,\,(-\infty 0$ depend only on the space $E.$

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David Edmunds, Amiran Gogatishvili, Tengiz Kopaliani, Nino Samashvili. 2015-07-31. Some $s$-numbers of an integral operator of Hardy type in Banach function spaces. https://arxiv.org/abs/1507.08854

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