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. M. Stolyarov, “Martingale interpretation of weakly cancelling differential operators”, Zap. Nauchn. Sem. POMI, 480 (2019), 191–198
2015
2.
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
3.
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
2014
4.
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
2013
5.
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
2011
6.
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
7.
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
8.
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
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
8.
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
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