On incompleteness of polynomials in some weighted spaces on half line

Autor:	Dokuchaev, Nikolai
Rok vydání:	2020
Předmět:	Mathematics - Classical Analysis and ODEs 41A10
Druh dokumentu:	Working Paper
Popis:	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 $q\in (0,1)$.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2005.09425 Zobrazit plný text záznamu View this record from Arxiv