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<p>In this work, we present sufficient cancellation conditions for the boundedness of inhomogeneous Calderón–Zygmund type operators on local Hardy spaces defined over spaces of homogeneous type in the sense of Coifman &amp; Weiss for <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\( 0&lt;p\le 1 \)</EquationSource> </InlineEquation>. A new approach to atoms and molecules for local Hardy spaces in this setting are introduced with special moment conditions.</p>

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Cancellation conditions and boundedness of inhomogeneous Calderón–Zygmund operators on local Hardy spaces associate with spaces of homogeneous type

  • 期刊论文

  • 发表日期：

    2025年11月10日

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  • Joel Coacalle,
  • Tiago Picon,
  • Claudio Vasconcelos

摘要

In this work, we present sufficient cancellation conditions for the boundedness of inhomogeneous Calderón–Zygmund type operators on local Hardy spaces defined over spaces of homogeneous type in the sense of Coifman & Weiss for \( 0<p\le 1 \) . A new approach to atoms and molecules for local Hardy spaces in this setting are introduced with special moment conditions.