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Atomic decomposition of Hardy spaces and characterization of BMO via Banach function spaces

Атомное раэложение пространств Харди и характериэация ВМО череэ функциональные Банаховы пространства

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An Erratum to this article was published on 29 April 2019

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Abstract

An atomic decomposition of Hardy spaces by atoms associated with Banach function space is developed. Inspired by these decompositions, a criterion on a general Banach function space is introduced so that the characterization of BMO by using that Banach function space is valid.

Реэюме

Раэработано атомное раэложение пространств Харди на атомы, свяэанные с функциональным Банаховым пространством. На основе этого раэложения получен критерий на обшее функциональное Банахово пространство, так что характериэация ВМО окаэывается справедливой в терминах этого пространства.

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Change history

  • 29 April 2019

    The main purpose of this short note is to correct a technical error appeared in the proof of [2, Theorem 2.3].

  • 29 April 2019

    The main purpose of this short note is to correct a technical error appeared in the proof of [2, Theorem 2.3].

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Authors and Affiliations

  1. Department of Mathematics and Information Technology, The Hong Kong Institute of Education, 10, Lo Ping Road, Tai Po, Hong Kong, China

    Kwok-Pun Ho

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  1. Kwok-Pun Ho
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Correspondence to Kwok-Pun Ho.

Additional information

The author is partly supported by HKIEd Internal Research Grant RG 61/2010-2011.

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Ho, KP. Atomic decomposition of Hardy spaces and characterization of BMO via Banach function spaces. Anal Math 38, 173–185 (2012). https://doi.org/10.1007/s10476-012-0302-5

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  • DOI: https://doi.org/10.1007/s10476-012-0302-5

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