Vasily I. Vasyunin

Senior Researcher

27 Fontanka (PDMI RAS), 191023 Saint Petersburg, Russia

By appointment

01.1993 — D.Sc. in Mathematics and Physics («Mathematical Analysis»)

**Institution:** St. Petersburg Department of Steklov Mathematical Institute

**Thesis title:** A Function Model and Estimations of Contractive Operator Chains

12.1976 — Ph.D. (C.Sc.) in Mathematics and Physics («Mathematical Analysis»)

**Institution:** Leningrad Department of Steklov Mathematical Institute

**Thesis title:** Unconditionally Convergent Spectral Decompositions and Interpolation Problems

**Advisor:** N.K. Nikolski

01.1962 — Specialist Degree in Mathematical Physics

**Institution:** Leningrad State University

Originally, I dealt with the spectral theory of non-selfadojnt operators in Hilbert space. At the beginning of the century, I changed the field of activity and more than 15 years I deal with the Bellman function method.

- P. Ivanisvili, D.M. Stolyarov, V.I. Vasyunin and P.B. Zatitskiy. Bellman function for extremal problems in BMO II: evolution. In: Memoirs of the American Mathematical Society, Vol. 255, No. 1220, AMS, 2018, pp. 1–148. [arXiv]
- L. Slavin and V. Vasyunin. Sharp results in the integral-form John–Nirenberg inequality. Transactions of the AMS 363, 4135–4169, 2011.
- V.I. Vasyunin. The sharp constant in the reverse Holder inequality for the Muckenhopt weights. St. Petersburg Mathematical Journal 15:1, 49–79, 2003. (Originally in Russian, published in Algebra i Analiz 15:1, 73–117, 2003.)
- N.K. Nikolskii and V.I. Vasyunin. Elements of spectral theory in terms of the free function model. In: Sh. Axler, J.E. McCarthy, D. Sarason (eds.), Holomorphic Spaces (Mathematical Sciences Research Institute Publications, Vol.33), Cambridge University Press, 1998, pp. 211–302.
- V.I. Vasjunin. Unconditionally convergent spectral decompositions and interpolation problems. In: Proceedings of the Steklov Institute of Mathematics, Vol. 4, 1979, pp. 1–53. (Originally in Russian, published in Trudy Mat. Inst. Steklov, Vol. 130, 1978, pp. 5–49.)

For the students who are interested in working under my supervision I would like to explain that the Bellman function method is an instrument for obtaining various estimates in analysis and probability. The method appears rather recently and by this reason, such a field is very profitable for young mathematicians. The fact is that the students have a possibility to deal with the unsolved mathematical problems after the first steps in the domain.

Also see my curriculum vitae (in English).

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