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Order Bounded Weighted Composition Operators Mapping into the Bergman Space

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Abstract

We will investigate the order boundedness of weighted composition operators \({uC_{\varphi}}\) from weighted Bergman spaces \({L_{a}^p(dA_{\alpha})}\) , weighted-type spaces \({H_{\alpha}^{\infty}}\) or Bloch-type spaces \({\mathcal{B}_{\alpha}}\) into the space \({L_{a}^q(dA_{\beta})}\) .

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Authors and Affiliations

  1. Faculty of Engineering, Ibaraki University, Hitachi, 316-8511, Japan

    Sei-ichiro Ueki

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  1. Sei-ichiro Ueki
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Correspondence to Sei-ichiro Ueki.

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Communicated by Guest Editors: L. Littlejohn and J. Stochel.

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Ueki, Si. Order Bounded Weighted Composition Operators Mapping into the Bergman Space. Complex Anal. Oper. Theory 6, 549–560 (2012). https://doi.org/10.1007/s11785-011-0137-2

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  • DOI: https://doi.org/10.1007/s11785-011-0137-2

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