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Abstract <p> This paper describes the known results on the projection from the most general holomorphic spaces <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(A^p_\omega\)</EquationSource> </InlineEquation>, which depend on a functional parameter <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\omega\)</EquationSource> </InlineEquation> and are over the unit disk, upper half-plane, and the finite complex plane, to the classical Hardy spaces <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(H^p\)</EquationSource> </InlineEquation>. The paper can be considered as a survey in the mentioned topic. A new result on the projection of the half-plane <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(A^p_\omega\)</EquationSource> </InlineEquation> to the half-plane Hardy space <InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(H^p\)</EquationSource> </InlineEquation> is obtained. </p>

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On Projection from \(A^P_\Omega\) to the Hardy Spaces \(H^p\)

  • 期刊论文

  • 发表日期：

    2025年10月1日

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  • A. M. Jerbashian,
  • J. E. Restrepo

摘要

Abstract

This paper describes the known results on the projection from the most general holomorphic spaces \(A^p_\omega\) , which depend on a functional parameter \(\omega\) and are over the unit disk, upper half-plane, and the finite complex plane, to the classical Hardy spaces \(H^p\) . The paper can be considered as a survey in the mentioned topic. A new result on the projection of the half-plane \(A^p_\omega\) to the half-plane Hardy space \(H^p\) is obtained.