Отправить статью по E-mail The Bellman Function for a Parametric Family of Extremal Problems in BMO
- Авторы: Osipov N.N.1
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Учреждения:
- St. Petersburg Department of Steklov Institute of Mathematics and National Research University “Higher School of Economics”
- Выпуск: Том 243, № 6 (2019)
- Страницы: 907-916
- Раздел: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/243183
- DOI: https://doi.org/10.1007/s10958-019-04591-5
- ID: 243183
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Аннотация
Let I be an interval of the real line and 〈⋅〉I be the corresponding integral average. We describe the behavior of the Bellman function for the functional F(φ) = 〈f ∘ φ〉I, φ ∈ BMO(I), as f ranges over some parametric family of functions. Thereby, we once again demonstrate the power of the methods developed recently by V. I. Vasyunin, P. B. Zatitskiy, P. Ivanishvili, D. M. Stolyarov, and the author.
Об авторах
N. Osipov
St. Petersburg Department of Steklov Institute of Mathematics and National Research University “Higher School of Economics”
Автор, ответственный за переписку.
Email: nicknick@pdmi.ras.ru
Россия, St. Petersburg
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