Approximation in Müntz spaces $M_{\Lambda ,p}$ of $L_p$ functions for $1<p<\infty$ and bases

Abstract

Müntz spaces satisfying the Müntz and gap conditions are considered. A Fourier approximation of functions in the Müntz spaces $M_{\Lambda ,p}$ of $L_p$ functions is studied, where $1<p<\infty$. It is proved that up to an isomorphism and a change of variables these spaces are contained in Weil-Nagy's class. Moreover, existence of Schauder bases in the Müntz spaces $M_{\Lambda ,p}$ is investigated.

arXiv admin note: text overlap with arXiv:1605.09661; 19 pages, observed misprints are corrected, more detailed citations are inserted

Cited by in corpus (1)

• Approximation and Schauder bases in Müntz spaces $M_{\Lambda ,C}$ of continuous functions