СПбГУ, мат-мех

 

 

 

 


English
Dmitriy Stolyarov

 

 

 

I am now a PostDoc at Michigan State University

 

e-mail: dms at pdmi dot ras dot ru, dms at math dot msu dot edu

 

My CV

 

My thesis (in Russian)

 

Papers

 

Bellman function 

 

Paata Ivanisvili, Dmitriy M. Stolyarov, Vasily I. Vasyunin, Pavel B. Zatitskiy, Bellman function for extremal problems in BMO II: evolution, http://arxiv.org/abs/1510.01010, to appear in Memoirs AMS.

 

Dmitriy M. Stolyarov, Pavel B. Zatitskiy, Theory of locally concave functions and its applications to sharp estimates of integral functionals, arxiv.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 oscillation, arxiv.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

D. M. Stolyarov, Dorronsoro's theorem and a small generalisation, arxiv.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-inequalities, arxiv.org/abs/1505.05416, to appear in Analysis & PDE.

 

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 measures, arxiv.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 generate, arxiv.org/abs/1209.2078.

 

D. M. Stolyarov, New correction theorems in the light of Littlewood--Paley--Rubio de Francia inequality, arxiv.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 revisited, arxiv.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 traces, arxiv.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, On Bloch approximation and the boundedness of integration operator on $H^{\infty}$, arxiv.org/abs/1604.05433, submitted.

W

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

 

D. M. Stolyarov, V. I. Vasyunin, P. B. Zatitskiy, Monotonic rearrangement of functions with small mean oscillation, arxiv.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)

Cluing 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

 

Санкт-Петербург 199178, 14 линия В.О., дом 29Б

Тел.: (812) 363-68-71

secretariat@chebyshev.spb.ru