论文标题

关于多项式在一半的加权空间中多项式的不完整

On incompleteness of polynomials in some weighted spaces on half line

论文作者

Dokuchaev, Nikolai

论文摘要

纸质研究多项式在一半的加权$ l_p $ - 空格中的完整性。结果表明,多项式的完整性不适合一类宽类的权重,包括$ \ exp(-r t^q)$,$ r> 0 $和$ q \ in(0,1)$。

The paper studies completeness of the polynomials in weighted $L_p$-spaces on half line. It is shown that the completeness of polynomials does not hold for a wide class of weights, including the weights $\exp(- r t^q)$ with $r>0$ and $q\in (0,1)$.

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