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).References
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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