The Multivariate Müntz‐Szasz Problem in Weighted Banach Space on Rn

Xiangdong Yang

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: The purpose of this paper is to give an extension of Müntz‐Szasz theorems to multivariable weighted Banach space. Denote by {λk=(λk1,λk2,...,λkn)} k=1∞ a sequence of real numbers in R+n. The completeness of monomials {tλk} in Cα is investigated, where Cα is the weighted Banach spaces which consist of complex continuous functions f defined on Rn with f(t) exp(−α(t)) vanishing at infinity in the uniform norm.

Date: 2014
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https://doi.org/10.1155/2014/342826

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:342826

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