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Zapiski Nauchnykh Seminarov POMI, 2022, Volume 512, Pages 40–87 (Mi znsl7218)  
On locally concave functions on simplest nonconvex domain

P. B. Zatitskiy, D. M. Stolyarov

Saint-Petersburg State University, Department of Mathematics and Computer Science
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Abstract: It is shown that certain Bellman functions of several variables are minimal locally concave functions. This generalizes earlier results about Bellman functions of two variables.
Key words and phrases: Bellman function, martingale.
Funding agency Grant number
Russian Science Foundation 19-71-10023
Received: 24.06.2022
Document Type: Article
UDC: 517.51
Language: Russian
Citation: P. B. Zatitskiy, D. M. Stolyarov, “On locally concave functions on simplest nonconvex domain”, Investigations on linear operators and function theory. Part 50, Zap. Nauchn. Sem. POMI, 512, POMI, St. Petersburg, 2022, 40–87
Citation in format AMSBIB
\Bibitem{ZatSto22}
\by P.~B.~Zatitskiy, D.~M.~Stolyarov
\paper On locally concave functions on simplest nonconvex domain
\inbook Investigations on linear operators and function theory. Part~50
\serial Zap. Nauchn. Sem. POMI
\yr 2022
\vol 512
\pages 40--87
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7218}
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