A generalization of Hardy's operator and an asymptotic Müntz–Szász Theorem

Jim Agler; John E. McCarthy

doi:10.1016/j.exmath.2022.09.004

A generalization of Hardy's operator and an asymptotic Müntz–Szász Theorem

Jim Agler
, John E. McCarthy

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We prove an asymptotic version of the Muntz–Szasz theorem, and use it to prove that all monomial operators are vanishing preserving.

Original language	English
Pages (from-to)	920-930
Number of pages	11
Journal	Expositiones Mathematicae
Volume	40
Issue number	4
DOIs	https://doi.org/10.1016/j.exmath.2022.09.004
State	Published - Dec 2022

Keywords

Hardy operator
Monomial operator
Muntz–Szasz theorem

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10.1016/j.exmath.2022.09.004

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title = "A generalization of Hardy's operator and an asymptotic M{\"u}ntz–Sz{\'a}sz Theorem",

abstract = "We prove an asymptotic version of the Muntz–Szasz theorem, and use it to prove that all monomial operators are vanishing preserving.",

keywords = "Hardy operator, Monomial operator, Muntz–Szasz theorem",

author = "Jim Agler and McCarthy, \{John E.\}",

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year = "2022",

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doi = "10.1016/j.exmath.2022.09.004",

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AU - McCarthy, John E.

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N2 - We prove an asymptotic version of the Muntz–Szasz theorem, and use it to prove that all monomial operators are vanishing preserving.

AB - We prove an asymptotic version of the Muntz–Szasz theorem, and use it to prove that all monomial operators are vanishing preserving.

KW - Hardy operator

KW - Monomial operator

KW - Muntz–Szasz theorem

UR - https://www.scopus.com/pages/publications/85142187913

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JO - Expositiones Mathematicae

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ER -

A generalization of Hardy's operator and an asymptotic Müntz–Szász Theorem

Abstract

Keywords

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