The common Hardy space and BMO space for singular integral operators associated with isotropic and anisotropic homogeneity

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Original languageEnglish
Pages (from-to)480-487
Journal / PublicationJournal of Mathematical Analysis and Applications
Volume414
Issue number1
Online published17 Dec 2013
Publication statusPublished - 1 Jun 2014

Abstract

If T1 and T2 are two singular integral operators associated with isotropic and anisotropic homogeneity, respectively, then T1, T2 and T◦ T2 are bounded on different Hardy spaces and BMO spaces (see [7,8,12]). In our paper, we show that these operators are actually bounded on a common Hardy space and a common BMO space. © 2013 Elsevier Inc.

Research Area(s)

  • Discrete Calderón reproducing formula, Hardy spaces, Isotropic/anisotropic homogeneity, Singular integral operator

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