Unconditional bases in weakly weighted spaces of entire functions
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K. P. Isaev, A. V. Lutsenko and R. S. Yulmukhametov
Translated by: V. Kapustin - St. Petersburg Math. J. 30 (2019), 253-265
- DOI: https://doi.org/10.1090/spmj/1541
- Published electronically: February 14, 2019
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Abstract:
The existence of unconditional bases of reproducing kernels in Fock–type spaces is studied. Criteria for that are obtained in terms of the measure associated with the weight function.References
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Bibliographic Information
- K. P. Isaev
- Affiliation: Institute of Mathematics with computer centrum, of the Russian Academy of Sciences, Chernyshevsky st. 112, 450008, Ufa, Russia; Bashkir State University, Zaki Validi st. 32, 450076, Ufa, Russia
- Email: orbit81@list.ru
- A. V. Lutsenko
- Affiliation: Bashkir State University, Zaki Validi st. 32, 450076, Ufa, Russia
- Email: lutsenko.av@ya.ru
- R. S. Yulmukhametov
- Affiliation: Bashkir State University, Zaki Validi st. 32, 450076, Ufa, Russia
- Email: yulmukhametov@mail.ru
- Received by editor(s): August 1, 2017
- Published electronically: February 14, 2019
- Additional Notes: This work was done under the support of RFBR, grant no. 18-01-00095-a
- © Copyright 2019 American Mathematical Society
- Journal: St. Petersburg Math. J. 30 (2019), 253-265
- MSC (2010): Primary 46E22
- DOI: https://doi.org/10.1090/spmj/1541
- MathSciNet review: 3790735
Dedicated: Dedicated to Vladimir Ivanovich Smirnov on the $130$th anniversary of his birth