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Skew Carleson Measures in Strongly Pseudoconvex Domains

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Abstract

Given a bounded strongly pseudoconvex domain D in \(\mathbb {C}^n\) with smooth boundary, we give a characterization through products of functions in weighted Bergman spaces of \((\lambda ,\gamma )\)-skew Carleson measures on D, with \(\lambda >0\) and \(\gamma >1-\frac{1}{n+1}\).

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Acknowledgements

We wish to thank the anonymous referee for her/his useful comments.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Pisa, Largo Pontecorvo 5, 56127, Pisa, Italy

    Marco Abate

  2. Institut de Mathématiques de Toulouse, UMR5219, CNRS, UPS IMT, Université de Toulouse, 118 route de Narbonne, 31062, Toulouse Cedex 9, France

    Jasmin Raissy

Authors
  1. Marco Abate
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  2. Jasmin Raissy
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Correspondence to Jasmin Raissy.

Additional information

Communicated by Daniel Aron Alpay.

Jasmin Raissy: Partially supported by ANR project LAMBDA, ANR-13-BS01-0002 and by the FIRB2012 Grant “Differential Geometry and Geometric Function Theory”, RBFR12W1AQ 002.

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Abate, M., Raissy, J. Skew Carleson Measures in Strongly Pseudoconvex Domains. Complex Anal. Oper. Theory 13, 405–429 (2019). https://doi.org/10.1007/s11785-018-0823-4

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  • DOI: https://doi.org/10.1007/s11785-018-0823-4

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