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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Extremal problems for vanishing functions in Bergman spaces
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by Adrián Llinares and Dragan Vukotić PDF
Proc. Amer. Math. Soc. 150 (2022), 2447-2453 Request permission

Abstract:

We prove two sharp estimates for the subspace of a standard weighted Bergman space that consists of functions vanishing at a given point (with prescribed multiplicity).
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Additional Information
  • Adrián Llinares
  • Affiliation: Departamento de Matemáticas, Universidad Autónoma de Madrid, 28049 Madrid, Spain
  • ORCID: 0000-0002-0846-434X
  • Email: adrian.llinares@uam.es
  • Dragan Vukotić
  • Affiliation: Departamento de Matemáticas, Universidad Autónoma de Madrid, 28049 Madrid, Spain
  • ORCID: 0000-0002-8617-628X
  • Email: dragan.vukotic@uam.es
  • Received by editor(s): July 25, 2021
  • Published electronically: March 16, 2022
  • Additional Notes: The authors were partially supported by PID2019-106870GB-I00 from MICINN, Spain. The first author was supported by MICINN Fellowship, reference number FPU17/00040.
  • © Copyright 2022 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 150 (2022), 2447-2453
  • MSC (2020): Primary 30H05
  • DOI: https://doi.org/10.1090/proc/15797
  • MathSciNet review: 4399261