4.5 Article

On the product of functions in BMO and H1 over spaces of homogeneous type☆

Journal

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 425, Issue 2, Pages 807-817

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2014.12.057

Keywords

Musielak-Orlicz function; Hardy space; BMO; Space of homogeneous type; Admissible function; Atomic decomposition

Funding

  1. Vietnam National Foundation for Science and Technology Development (NAFOSTED) [101.02-2014.31]

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Let chi be an RD-space, which means that chi is a space of homogeneous type in the sense of Coifman-Weiss with the additional property that a reverse doubling property holds in chi. The aim of the present paper is to study the product of functions in BMO and H-1 in this setting. Our results generalize some recent results in [4] and [11]. (C) 2014 Elsevier Inc. All rights reserved.

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