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<p>In this paper, we study the difference of weighted composition operators acting from the <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(\alpha \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>α</mi> </math></EquationSource> </InlineEquation>-weighted space to radially <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(\omega \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>ω</mi> </math></EquationSource> </InlineEquation>-weighted space over the unit ball of <InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(\mathbb {C}^m\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mrow> <mi mathvariant="double-struck">C</mi> </mrow> <mi>m</mi> </msup> </math></EquationSource> </InlineEquation>. We present equivalent characterizations for its boundedness, derive corresponding estimation formulas for its essential norm, and thereby provide equivalent descriptions for its compactness.</p>

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Difference of weighted composition operators from \(\alpha \)-weighted space to radially \(\omega \)-weighted space in the unit ball

  • 期刊论文

  • 发表日期：

    2026年7月9日

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  • Cui Chen,
  • Wei Lu,
  • Li Zhang

摘要

In this paper, we study the difference of weighted composition operators acting from the \(\alpha \) α -weighted space to radially \(\omega \) ω -weighted space over the unit ball of \(\mathbb {C}^m\) C m . We present equivalent characterizations for its boundedness, derive corresponding estimation formulas for its essential norm, and thereby provide equivalent descriptions for its compactness.