Hardy and Carleson measure spaces associated with operators on spaces of homogeneous type

Yanchang Han, Yongsheng Han, Ji Li, Chaoqiang Tan*

*Corresponding author for this work

    Research output: Contribution to journalArticle

    2 Citations (Scopus)

    Abstract

    Let (X, d, μ) be a metric measure space with doubling property. The Hardy spaces associated with operators L were introduced and studied by many authors. All these spaces, however, were first defined by L2(X) functions and finally the Hardy spaces were formally defined by the closure of these subspaces of L2(X) with respect to Hardy spaces norms. A natural and interesting question in this context is to characterize the closure. The purpose of this paper is to answer this question. More precisely, we will introduce CMOLp(X), the Carleson measure spaces associated with operators L, and characterize the Hardy spaces associated with operators L via (CMOLp(X))′, the distributions of CMOLp(X).

    Original languageEnglish
    Pages (from-to)247-265
    Number of pages19
    JournalPotential Analysis
    Volume49
    Issue number2
    DOIs
    Publication statusPublished - 1 Aug 2018

    Keywords

    • Atom
    • Davies-Gaffney condition
    • Hardy space
    • Metric measure space
    • Molecule

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