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Carleson Measures for Variable Exponent Bergman Spaces

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Abstract

In this article we define and characterize Carleson measures for the setting of variable exponent Bergman spaces. We also estimate the norm of the reproducing kernels under this context.

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Acknowledgments

The authors would like to thank the anonymous referee for pointing out an error in the proof of Theorem 4.6 and for her valuable suggestions. H.R. was partially supported by the Research Project Espacios de Bergman con Exponente Variable, ID-PPTA: 5992 of the Faculty of Sciences of the Pontificia Universidad Javeriana, Bogotá, Colombia. J.C.V. was supported by the Grant Joven Investigador of Colciencias (Gobierno de Colombia).

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Authors and Affiliations

  1. Department of Science, Technology, and Mathematics, Gallaudet University, 800 Florida Ave. NE, Washington, DC, 20002, USA

    Gerardo R. Chacón

  2. Departamento de Matemáticas, Pontificia Universidad Javeriana, Bogotá, Colombia

    Humberto Rafeiro & Juan Camilo Vallejo

Authors
  1. Gerardo R. Chacón
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  2. Humberto Rafeiro
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  3. Juan Camilo Vallejo
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Correspondence to Gerardo R. Chacón.

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Communicated by Amol Sasane.

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Chacón, G.R., Rafeiro, H. & Vallejo, J.C. Carleson Measures for Variable Exponent Bergman Spaces. Complex Anal. Oper. Theory 11, 1623–1638 (2017). https://doi.org/10.1007/s11785-016-0573-0

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