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Dmitriy Stolyarov

 

e-mail: dms at pdmi dot ras dot ru; d.m.stolyarov at spbu dot ru
e-mail for students: dmsforstudents at google dot com

 

My CV

 

My thesis (in Russian)

For students:

Analysis 3

Analysis 5

Papers

Oscillatory integrals

Michael Goldberg, Dmitriy Stolyarov, Restrictions of higher derivatives of Fourier trasnform, arxiv.org/abs/1809.04159, to appear in Transactions of the American Mathematical Society.

 

D. M. Stolyarov, Functions whose Fourier transform vanishes on a surfacearxiv.org/abs/1601.04604.

 

Bellman function 

Dmitriy Stolyarov, Pavel Zatitskiy, Sharp transference principle for BMO and A_p, https://arxiv.org/abs/1908.09497.

 

Dmitriy Stolyarov, Vasily Vasyunin, Pavel Zatitskiy, Ilya Zlotnikov, Distribution of martingales with bounded square function, Comptes Rendus Mathematique 357:8 (2019), 671—675.

 

Haakan Hedenmalm, Dmitriy M. Stolyarov, Vasily I. Vasyunin, Pavel B. Zatitskiy, A sharpening of Holder inequalityarxiv.org/abs/1708.08846, Journal of Functional Analysis 275:5 (2018), 1280—1319.

 

Paata Ivanisvili, Dmitriy M. Stolyarov, Vasily I. Vasyunin, Pavel B. Zatitskiy, Bellman function for extremal problems in BMO II: evolutionhttp://arxiv.org/abs/1510.01010, Memoirs AMS 255:1220, 2018.

 

Dmitriy M. Stolyarov, Pavel B. Zatitskiy, Theory of locally concave functions and its applications to sharp estimates of integral functionalsarxiv.org/abs/1412.5350, Advances in Mathematics 291 (2016), 228—273.

 

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 oscillationarxiv.org/abs/1412.4749, Comptes Rendus Mathematique 353:12 (2015), 1081—1085.

 

Paata Ivanisvili, Dmitriy M. Stolyarov, Pavel B. Zatitskiy, Bellman VS Beurling: sharp estimates of uniform convexity for $L^p$ spacesarxiv.org/abs/1405.6229,  Algebra i Analiz, 27:2 (2015), 218—231 (in Russian); English translation: St.-Petersburg Mathematics Journal 27 (2016), 333—343.

 

Alexander A. Logunov, Leonid Slavin, Dmitriy M. Stolyarov, Vasily Vasyunin, Pavel B. Zatitskiy, Weak integral conditions for~$\BMO$arxiv.org/abs/1309.6780, Proceedings AMS, 143 (2015), 2913—2926.

 

Paata Ivanishvili, Nikolay N. Osipov, Dmitriy M. Stolyarov, Vasily I. Vasyunin, Pavel B. Zatitskiy, Bellman function for extremal problems in~$\BMO$arxiv.org/abs/1205.7018,  Transactions AMS 368 (2016), 3415—3468;

Short report: Paata Ivanishvili, 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 (2012), 561—564.

Also see earlier version (in Russian) at   www.pdmi.ras.ru/preprint/2011/rus-2011.html

 

L_1 and L_{\infty}-spaces

Dmitriy Stolyarov, Martingale interpretation of weakly cancelling differential operators, https://arxiv.org/abs/1909.00148

 

Rami Ayoush, Dmitriy Stolyarov, Michal Wojciechowski, Martingale approach to Sobolev embedding theoremshttps://arxiv.org/abs/1811.08137, to appear in Revista Matematica Iberoamericana.

 

D. M. Stolyarov, Dorronsoro’s theorem and a slight generalisationarxiv.org/abs/1506.06383  Zapiski nauchn. sem. POMI 434, English translation: Journal of Mathematical Sciences (New York), 215:5, 624—630.

 

K. Kazaniecki, D. M. Stolyarov, M. Wojciechowski, Anisotropic Ornstein non-inequalitiesarxiv.org/abs/1505.05416, Analysis & PDE 10:2 (2017). 351—366.

 

D. M. Stolyarov, Bilinear embedding theorems for differential operators in $\mathbb{R}^2$arxiv.org/abs/1406.2009, Zapiski nauchn. sem. POMI, 424 (2014), 210—235 (Russian); English translation: Journal of Mathematical Sciences (New York), 206:5 (2015), 792—807.

 

D. M. Stolyarov, M. Wojciechowski, Dimension of gradient measuresarxiv.org/abs/1402.4443, Comptes Rendus Mathematique, 352:10 (2014), 791—795

 

S. V. Kislyakov, D. V. Maksimov, D. M. Stolyarov, Differential expression with mixed homogeneity and spaces of smooth functions they generate in arbitrary dimension,  Journal of Functional Analysis, 269:10 (2015), 3220—3263;

Short report: S. V. Kislyakov, D. V. Maksimov, D. M. Stolyarov, Spaces of smooth functions generated by nonhomogeneous differential expressions, Functional Analysis and its Applications,  47:2 (2013), 157—159,

Also see earlier preprint (which differs from the submitted version): S. V. Kislyakov, D. V. Maksimov, D. M. Stolyarov, Differential expressions with mixed homogeneity and spaces of smooth functions they generatearxiv.org/abs/1209.2078.

 

D. M. Stolyarov, New correction theorems in the light of Littlewood—Paley—Rubio de Francia inequalityarxiv.org/abs/1105.6215v1, Zap. nauchn. sem. POMI,  389 (2011), 232—251 (Russian); English translation: Journal of Mathematical Sciences (New York), 182:5 (2012), 714—723.

 

Regularized traces

A. I. Nazarov, D. M. Stolyarov, P. B. Zatitskiy,  Tamarkin equiconvergence theorem and trace formula revisitedarxiv.org/abs/1210.8097, Journal of Spectral Theory, 4:2 (2014),  365—389.

 

A. I. Nazarov, D. M. Stolyarov, P. B. Zatitskiy, On formula of regularized tracesarxiv.org/abs/1103.5775, DAN, 442:2 (2012), 162—165 (Russian); English translation: Doklady Mathematics, 85:1 (2012), 29—32.

There were earlier versions of this paper, they can be found at www.mathsoc.spb.ru/preprint/2010/index.html and www.mathsoc.spb.ru/preprint/2011/index.html .

 

Miscellaneous

W. Smith, D. M. Stolyarov, A. Volberg, Uniform approximation of Bloch functions and the boundedness of the integration operator on $H^{\infty}$arxiv.org/abs/1604.05433, Advances in Mathematics 314 (2017), 185—202.

 

D. M. Stolyarov, V. I. Vasyunin, P. B. Zatitskiy, Monotonic rearrangement of functions with small mean oscillationarxiv.org/abs/1506.00502, Studia Mathematica 231:3  (2015), 257—268.

 

A. L. Glazman, P. B. Zatitski, A. S. Sivatski, D. M. Stolyarov, Forms of higher degree over certain fields, Zap. nauchn. sem. POMI (Journal of Mathematical Sciences), 394 (2011), 209—217.

 

F. V. Petrov, D. M. Stolyarov and P. B. Zatitskiy, On embeddings of finite metric spaces in $l_{\infty}^n$arxiv.org/abs/0903.4355, Mathematika, 56:1 (2010), 135—139.

 

A. L. Tulupyev, D. M. Stolyarov, M. V. Mentyukov, A representation for local and global structures of an algebraical Bayesian network in java applications, Trudy SPIIRAN 5 (2007), 71—99, (Russian).

 

Notes

(these notes usually include proofs of well-known statements or similar things I write down for myself)

Approximation of analytic functions on strips and semi-strips (addendum to my paper with Smith and Volberg)

Gluing functions: on a reasoning by Fedor Nazarov (in Russian)

Latala’s inequality

Rank-one convexity

Dorronsoro’s theorem

Ito seminar notes (Achtung!: handwriting in Russian)

Convexity in Banach spaces: B-convexity, K-convexity, Pisier’s great theorem, the Beurling—Kato theorem (handwriting in Russian) 

 

Previous teaching

 

Analysis practice class 4, Spring 2019

Quasiregular mappings, Spring 2019

Additive combinatorics, Fall 2018

Practice class, Analysis 3, Fall 2018

Practice class, Analysis 2, Spring 2018

Practice class, Probability, Fall 2017

Practice class, Analysis 1, Fall 2017