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<p>We give an equivalence between frame-preserving and invertible weighted composition operators, as well as their Fredholm property. Based on these results, we characterize the relationship between weighted composition operators that preserve <i>p</i>-frames and <i>q</i>-Riesz bases in Fock spaces <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(F_{\alpha }^{p}\)</EquationSource> <EquationSource Format="MATHML"><math> <msubsup> <mi>F</mi> <mrow> <mi>α</mi> </mrow> <mi>p</mi> </msubsup> </math></EquationSource> </InlineEquation>. Furthermore, we obtain related applications in dynamical sampling.</p>

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Weighted Composition Operators That Preserve p-frames on Fock Spaces and Dynamical Sampling

  • 期刊论文

  • 发表日期：

    2026年4月30日

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  • Yali Dong,
  • Rui Liu

摘要

We give an equivalence between frame-preserving and invertible weighted composition operators, as well as their Fredholm property. Based on these results, we characterize the relationship between weighted composition operators that preserve p-frames and q-Riesz bases in Fock spaces \(F_{\alpha }^{p}\) F α p . Furthermore, we obtain related applications in dynamical sampling.