Products of functions in \BMO and \H¹ spaces on spaces of homogeneous type

2009/02/18 by Justin Feuto, Feuto, Justin
Mathematics · #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Advanced Topology and Set Theory #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA)

paper · pdf · doi:10.48550/arxiv.0902.3193

openalex publication_date 2009/02/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give an extension to certain RD-space \X, i.e space of homogeneous type in the sense of Coifman and Weiss, which has the reverse doubling property, of the definition and various properties of the product of functions in \BMO(\X) and \H¹(\X), and functions in Lipschitz space Λ_(1)/(p)-1(\X) and \H^p(\X) for p∈((\n)/(\n+θ),1], where \n and θ denote respectively the "dimension" and the order of \X

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