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<p>Inspired by Korenbljum (Mat Sb (NS) 131:110–137, 1972), we propose a new Banach space called the derivative Hardy space <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(H^{m,p}\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>H</mi> <mrow> <mi>m</mi> <mo>,</mo> <mi>p</mi> </mrow> </msup> </math></EquationSource> </InlineEquation>. Then, we investigate some basic properties of this space. Next, we study multiplication operators on <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(H^{m,p}\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>H</mi> <mrow> <mi>m</mi> <mo>,</mo> <mi>p</mi> </mrow> </msup> </math></EquationSource> </InlineEquation>. Specifically, we characterize bounded and compact multiplication operators. Furthermore, we find the spectrum of the multiplication operator.</p>

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Multiplication Operators on the Derivative Hardy Spaces

  • 期刊论文

  • 发表日期：

    2026年4月28日

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  • Mahsa Fatehi

摘要

Inspired by Korenbljum (Mat Sb (NS) 131:110–137, 1972), we propose a new Banach space called the derivative Hardy space \(H^{m,p}\) H m , p . Then, we investigate some basic properties of this space. Next, we study multiplication operators on \(H^{m,p}\) H m , p . Specifically, we characterize bounded and compact multiplication operators. Furthermore, we find the spectrum of the multiplication operator.