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Dmitriy M. Stolyarov
Dmitriy M. Stolyarov
Associate Professor
Contacts:

29 Line 14th (Vasilyevsky Island), 199178 Saint Petersburg, Russia

d.m.stolyarov@spbu.ru

http://chebyshev.spbu.ru/dmitriystolyarov

Reception hours:

By appointment


Education

12.2014 — Ph.D. (C.Sc.) in Mathematics and Physics («Real, Complex and Functional Analysis»)
Institution: St. Petersburg Department of Steklov Mathematical Institute
Thesis title: Differential Operators and Fourier Analysis: Embedding Theorems with Limiting Exponent and Their Applications
Advisor: S.V. Kislyakov

06.2011 — Specialist Degree in Mathematics
Institution: St. Petersburg State University


Scientific interests

Harmonic analysis, martingale inequalities, embedding theorems, extremal problems, Banach space theory, extremal combinatorics, spectral theory, convex geometry, additive combinatorics, geometric measure theory, oscillatory integrals.


Additional Information

See http://chebyshev.spbu.ru/dmitriystolyarov. Also see my curriculum vitae (in English).


Publications

31 Stolyarov D., Trace inequalities for Sobolev martingales; preprint (2022).
30 Stolyarov D., On Fourier multipliers with rapidly oscillating symbols; preprint (2022).
29 Dmitriy Stolyarov, Fractional integration of summable functions : Maz’ya’s Φ-inequalities; preprint (2021).
28 Dmitriy Stolyarov, A trace inequality for solenoidal charges; preprint (2021).
27 Dmitriy Stolyarov, On Φ-inequalities for martingale fractional integration and their Bellman functions, accepted for publication in Michigan Mathematical Journal; preprint (2021).
26 Dmitriy Stolyarov, Vasily Vasyunin, Pavel Zatitskiy, Ilya Zlotnikov, Sharp moment estimates for martingales with uniformly bounded square functions; preprint (2021).
25 Dmitry Stolyarov, Pavel Zatitskiy, Sharp transference principle for BMO and A_p, Journal of Functional Analysis, Volume 281, Issue 6, 109085.
24 Stolyarov D., Dimension estimates for vectorial measures with restricted spectrum, Journal of Functional Analysis 284:1 (2023), 109735; preprint (2020).
23 Dmitriy Stolyarov, Hardy—Littlewood—Sobolev inequality for p=1, accepted for publication in Sbornik: Mathematics; preprint (2020).
22 Rami Ayoush, Dmitriy Stolyarov, Michał Wojciechowski, Hausdorff dimension of measures with arithmetically restricted spectrum, Annales Academiae Scientiarum Fennicae Mathematica, 46:1 (2021), 537-551; preprint (2020).
21 Dmitriy Stolyarov, Weakly canceling operators and singular integrals, Trudy MIAN, 312 (2021), 259–271 ; preprint (2020).
20 Dmitriy Stolyarov, Vasily Vasyunin, Pavel Zatitskiy, Sharp mutliplicative inequalities with BMO I, Journal of Mathematical Analysis and Applications, 492:2 15 December 2020 (2020), 124479; preprint (2020).
19 Dmitriy Stolyarov, Vasily Vasyunin, Pavel Zatitskiy, Ilya Zlotnikov, Distribution of martingales with bounded square function, accepted for publication in Comptes Rendus Mathematique Comptes Rendus Mathematique, v. 357, 8, p. 671-675.
18 Rami Ayuosh, Dmitriy Stolyarov, Michal Wojciechowski, Sobolev martingales, accepted for publication in Revista Mathematica Iberoamericana.
17 Dmitriy Stolyarov, Martingale interpretation of weakly cancelling differential operators, accepted for publication in Journal of Mathematical Sciences; preprint (2019).
16 Rami Ayoush, Dmitriy Stolyarov, Michal Wojciechowski, Martingale approach to Sobolev embedding theorems; preprint (2018).
15 Haakan Hedenmalm, Dmitriy M. Stolyarov, Vasily I. Vasyunin, Pavel B. Zatitskiy, Sharpening Hölder’s inequality, Journal of Functional Analysis, 275:5 (2018), 1280-1319; preprint.
14 Michael Goldberg, Dmitriy Stolyarov, Restrictions of higher derivatives of the Fourier transform; preprint (2018).
13 Paata Ivanisvili, Dmitriy M. Stolyarov, Vasily I. Vasyunin, Pavel B. Zatitskiy, Bellman function for extremal problems in BMO II: evolution, Memoirs of the AMS, 255:1220 (2018); preprint.
12 Wayne Smith, Dmitriy M. Stolyarov, Alexander Volberg, Uniform approximation of Bloch functions and the boundedness of the integration operator on $H^{\infty}$, Advances in Mathematics, 314 (2017), 185-202; preprint (2016).
11 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; preprint (2014).
10 Paata Ivanisvili , Nikolay N. Osipov, Dmitriy M. Stolyarov, Vasily I. Vasyunin, Pavel B. Zatitskiy, Bellman function for extremal problems in BMO, Transactions of the AMS, 368:5 (2016), 3415-3468; preprint (2012).
9 Alexander A. Logunov, Leonid Slavin, Dmitriy M. Stolyarov, Vasily Vasyunin, Pavel B. Zatitskiy, Weak integral conditions for BMO, Proceedings of the AMS, 143 (2015), 2913-2926; preprint (2013).
8 Paata Ivanisvili, Nikolay N. Osipov, Dmitriy M. Stolyarov, Vasily I. Vasyunin, Pavel B. Zatitskiy, Sharp estimates of integral functionals on classes of functions with small mean oscillation, Comptes Rendus Mathematique, 353:12 (2015), 1081-1085; preprint (2014).
7 Dmitriy M. Stolyarov, Vasily I. Vasyunin, Pavel B. Zatitskiy, Monotonic rearrangement of functions with small mean oscillation, Studia Mathematica, 231:3 (2015), 257-268; preprint (2015).
6 Kislyakov S.V. , Maksimov D.V. , Stolyarov D.M., Differential expressions with mixed homogeneity and spaces of smooth functions they generate in arbitrary dimension, Journal of Functional Analysis, 269:10 (2015), 3220­­-3263.; preprint (2012).
5 Krystian Kazaniecki, Dmitriy M. Stolyarov, Michał Wojciechowski, Anisotropic Ornstein non-inequalities, Analysis & PDE, 10:2 (2017), 351-366; preprint (2015).
4 Alexander I. Nazarov, Dmitriy M. Stolyarov, Pavel B. Zatitskiy, The Tamarkin equiconvergence theorem and a first-order trace formula for regular differential operators revisited, Journal Of Spectral Theory, 4:2 (2014), 365-389.
3 Dmitriy M. Stolyarov, Michal Wojciechowski, Dimension of gradient measures, Comptes Rendus Mathematique, 352:10 (2014), 791-795; preprint (2014).
2 Paata Ivanisvili, Nikolay N. Osipov, Dmitriy M. Stolyarov, Vasily I. Vasyunin, Pavel B. Zatitskiy, On Bellman function for extremal problems in BMO, Comptes Rendus Mathematique, 350:11–12 (2012), 561-564.
1 Petrov F.V., Stolyarov D.M., Zatitskiy P.B., On embeddings of finite metric spaces in l_infty^n, Mathematika, 56:1 (2010), 135-139; preprint.