Scholarlink

<p>In this article, we completely characterize the positive expansive and absolutely Cesàro bounded composition operators <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(C_{\phi }f=f\circ \phi \)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>C</mi> <mi>ϕ</mi> </msub> <mi>f</mi> <mo>=</mo> <mi>f</mi> <mo>∘</mo> <mi>ϕ</mi> </mrow> </math></EquationSource> </InlineEquation> induced by affine self-maps <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\phi \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>ϕ</mi> </math></EquationSource> </InlineEquation> of the right half-plane <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\mathbb {C}_+\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi mathvariant="double-struck">C</mi> <mo>+</mo> </msub> </math></EquationSource> </InlineEquation> on the weighted Bergman space <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\mathcal {A}^2_{\alpha }(\mathbb {C}_+)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msubsup> <mrow> <mi mathvariant="script">A</mi> </mrow> <mi>α</mi> <mn>2</mn> </msubsup> <mrow> <mo stretchy="false">(</mo> <msub> <mi mathvariant="double-struck">C</mi> <mo>+</mo> </msub> <mo stretchy="false">)</mo> </mrow> </mrow> </math></EquationSource> </InlineEquation>. Furthermore, we characterize which of these operators have the positive shadowing property.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Dynamics for Affine Composition Operators on Weighted Bergman Spaces of a Half Plane

  • 期刊论文

  • 发表日期：

    2025年12月17日

查看全文
  • Artur Blois,
  • Osmar R. Severiano

摘要

In this article, we completely characterize the positive expansive and absolutely Cesàro bounded composition operators \(C_{\phi }f=f\circ \phi \) C ϕ f = f ∘ ϕ induced by affine self-maps \(\phi \) ϕ of the right half-plane \(\mathbb {C}_+\) C + on the weighted Bergman space \(\mathcal {A}^2_{\alpha }(\mathbb {C}_+)\) A α 2 ( C + ) . Furthermore, we characterize which of these operators have the positive shadowing property.