01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date:
20.12.1988
E-mail:
Keywords:
Bellman function,
canceling operators.
UDC:
517.5, 512.623.7
Subject:
Harmonic analysis, inequalities for differential operators, martingale inequalities
Main publications:
Michael Goldberg, Dmitriy Stolyarov, “Restrictions of higher derivatives of Fourier transform”, Transactions of the American Mathematical Society series B, 7 (2020), 46-96
Dmitriy M. Stolyarov, Pavel B. Zatitskiy, “Theory of locally concave functions and its applications to sharp estimates of integral functionals”, Advances in Mathematics, 291 (2016), 228–273
D. Stolyarov, “On Fourier multipliers with rapidly oscillating symbols”, Algebra i Analiz, 35:4 (2023), 167–182
2.
D. M. Stolyarov, “On Embedding of Besov Spaces of Zero Smoothness into Lorentz Spaces”, Trudy Mat. Inst. Steklova, 323 (2023), 204–212; Proc. Steklov Inst. Math., 323 (2023), 197–205
2022
3.
D. M. Stolyarov, “Hardy-Littlewood-Sobolev inequality for $p=1$”, Mat. Sb., 213:6 (2022), 125–174; Sb. Math., 213:6 (2022), 844–889
P. B. Zatitskiy, P. Ivanishvili, D. M. Stolyarov, “Bellman vs Beurling: sharp estimates of uniform convexity for $L^p$ spaces”, Algebra i Analiz, 27:2 (2015), 218–231; St. Petersburg Math. J., 27:2 (2016), 333–343
D. M. Stolyarov, “Dorronsoro's theorem and a slight generalization”, Zap. Nauchn. Sem. POMI, 434 (2015), 126–135; J. Math. Sci. (N. Y.), 215:5 (2016), 624–630
D. M. Stolyarov, “Bilinear embedding theorems for differential operators in $\mathbb R^2$”, Zap. Nauchn. Sem. POMI, 424 (2014), 210–234; J. Math. Sci. (N. Y.), 209:5 (2015), 792–807
S. V. Kislyakov, D. V. Maksimov, D. M. Stolyarov, “Spaces of Smooth Functions Generated by Nonhomogeneous Differential Expressions”, Funktsional. Anal. i Prilozhen., 47:2 (2013), 89–92; Funct. Anal. Appl., 47:2 (2013), 157–159
A. L. Glazman, P. B. Zatitski, A. S. Sivatski, D. M. Stolyarov, “Forms of higher degree over certain fields”, Zap. Nauchn. Sem. POMI, 394 (2011), 209–217; J. Math. Sci. (N. Y.), 188:5 (2013), 591–595
12.
D. M. Stolyarov, “New correction theorems in the light of a weighted Littlewood–Paley–Rubio de Francia inequality”, Zap. Nauchn. Sem. POMI, 389 (2011), 232–251; J. Math. Sci. (N. Y.), 182:5 (2012), 714–723
2007
13.
A. L. Tulupyev, D.M. Stolyarov, M.V. Mentyukov, “A representation for local and global structures of an algebraical Bayesian network in java applications”, Tr. SPIIRAN, 5 (2007), 71–99
Φ-неравенства Мазьи на областях D. M. Stolyarov Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics November 13, 2024 16:00
Bourgain–Brezis inequalities and Besov spaces D. M. Stolyarov Conference on the Theory of Functions of Several Real Variables, dedicated to the 90th anniversary of O. V. Besov May 31, 2023 12:30
Three stories about a Bellman function D. M. Stolyarov Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics March 27, 2019
23.
Martingale Sobolev spaces D. M. Stolyarov St. Petersburg Seminar on Representation Theory and Dynamical Systems March 6, 2019 17:00
Не-неравенства типа Орнстейна и функция Беллмана D. M. Stolyarov Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics September 16, 2015 16:00