01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail:
Keywords:
Measures on infinite dimensional spaces, Gaussian measures, logarithmically concave measures, measurable polynomial, polynomial random variables, Nikolskii--Besov classes, Besov spaces
UDC:
519.21, 519.213, 517.51, 517.518.2
Subject:
Measure theory, probability theory, infinite dimensional analysis
Main publications:
Egor Kosov, “Fractional smoothness of images of logarithmically concave measures under polynomials”, Journal of Mathematical Analysis and Applications, 462:1 (2018), 390–406
Vladimir I. Bogachev, Egor D. Kosov, Georgii I. Zelenov, “Fractional smoothness of distributions of polynomials and a fractional analog of the Hardy-Landau-Littlewood inequality”, Transactions of the American Mathematical Society, 370:6 (2018), 4401–4432
Egor D. Kosov, “Total Variation Distance Estimates via $L^2$-Norm for Polynomials in Log-concave Random Vectors”, International Mathematics Research Notices, 2021:21 (2021), 16492–16508
E. D. Kosov, A. K. Zhukova, “Improved bounds for the total variation distance between stochastic polynomials”, Stoch. Proc. Appl., 170 (2024), 104279 , 15 pp. ;
2.
Egor Kosov, Vladimir Temlyakov, “Sampling discretization of the uniform norm and applications”, J. Math. Anal. Appl., 538:2 (2024), 128431 , 25 pp., arXiv: 2306.14207; (Published online)
V. I. Bogachev, E. D. Kosov, A. V. Shaposhnikov, “Regularity of solutions to Kolmogorov equations with perturbed drifts”, Potential Anal., 58 (2023), 681–702 , arXiv: 2104.04674
E. D. Kosov, “Distributions of Polynomials in Gaussian Random Variables under Constraints on the Powers of Variables”, Funct. Anal. Appl., 56:2 (2022), 101–109
9.
Egor D. Kosov, “Remarks on Sampling Discretization of Integral Norms of Functions”, Proc. Steklov Inst. Math., 319 (2022), 188–198
10.
B. Kashin, E. Kosov, I. Limonova, V. Temlyakov, “Sampling discretization and related problems”, J. Complexity, 71 (2022), 101653;
V. I. Bogachev, E. D. Kosov, S. N. Popova, “On distributions of homogeneous and convex functions in Gaussian random variables”, Izv. Math., 85:5 (2021), 852–882
12.
E.D.Kosov, “Marcinkiewicz-type discretization of $L^p$-norms under the Nikolskii-type inequality assumption”, Journal of Mathematical Analysis and Applications, 504:1 (2021), 125358 , 32 pp.
E.D.Kosov, “Total Variation Distance Estimates via $L^2$-Norm for Polynomials in Log-concave Random Vectors”, International Mathematics Research Notices, 2021:21 (2021), 16492–16508
P. A. Borodin, I. A. Ibragimov, B. S. Kashin, V. V. Kozlov, A. V. Kolesnikov, S. V. Konyagin, E. D. Kosov, O. G. Smolyanov, N. A. Tolmachev, D. V. Treshchev, A. V. Shaposhnikov, S. V. Shaposhnikov, A. N. Shiryaev, A. A. Shkalikov, “Vladimir Igorevich Bogachev (on his 60th birthday)”, Russian Math. Surveys, 76:6 (2021), 1149–1157
2020
15.
V.I. Bogachev, E.D. Kosov, S.N. Popova, “Densities of Distributions of Homogeneous Functions of Gaussian Random Vectors”, Doklady Mathematics, 102:3 (2020), 460–463
2019
16.
E. D. Kosov, “Besov classes on finite and infinite dimensional spaces”, Sb. Math., 210:5 (2019), 663–692
17.
V.I. Bogachev, E.D. Kosov, S.N. Popova, “A new approach to Nikolskii-Besov classes”, Moscow Mathematical Journal, 19:4 (2019), 619–654
E.D. Kosov, “An Inequality between Total Variation and $L^2$ Distances for Polynomials in log-Concave Random Vectors”, Doklady Mathematics, 100:2 (2019), 423–425
19.
Egor Kosov, “On fractional regularity of distributions of functions in gaussian random variables”, Fractional Calculus and Applied Analysis, 22:5 (2019), 1249–1268
Egor Kosov, “Fractional smoothness of images of logarithmically concave measures under polynomials”, Journal of Mathematical Analysis and Applications, 462:1 (2018), 390–406
V. I. Bogachev, E. D. Kosov, G. I. Zelenov, “Fractional smoothness of distributions of polynomials and a fractional analog of the Hardy-Landau-Littlewood inequality”, Transactions of the American Mathematical Society, 370:6 (2018), 4401-4432
E.D. Kosov, “A Characterization of Besov Classes in Terms of a New Modulus of Continuity”, Doklady Mathematics, 96:3 (2017), 587–590
27.
Alexander V. Kolesnikov, Egor D. Kosov, “Moment measures and stability for Gaussian inequalities”, Theory Stoch. Process., 22(38):2 (2017), 47–61
2016
28.
V. I. Bogachev, G. I. Zelenov, E. D. Kosov, “Membership of distributions of polynomials in the Nikolskii–Besov class”, Doklady Mathematics, 94:1 (2016), 453–457
2015
29.
L. M. Arutyunyan, E. D. Kosov, “Spaces of quasi-invariance of product measures”, Funct. Anal. Appl., 49:2 (2015), 142–144
30.
L. M. Arutyunyan, E. D. Kosov, “Estimates for integral norms of polynomials on spaces with convex measures”, Sb. Math., 206:8 (2015), 1030–1048
31.
L. M. Arutyunyan, E. D. Kosov, “Polynomials on spaces with logarithmically concave measures”, Doklady Mathematics, 91:1 (2015), 72–75
32.
Arutyunyan L.M., Kosov E.D., “Sets of admissible shifts of convex measures”, Rendiconti Lincei-Matematica e Applicazioni, 26:1 (2015), 93–98
33.
E. D. Kosov, “Lower estimates of measure of deviation of polynomials from mathematical expectations”, Doklady Mathematics, 92:3 (2015), 698–700
34.
V. I. Bogachev, E. D. Kosov, I. Nourdin, G. Poly, “Two properties of vectors of quadratic forms of Gaussian random variables”, Theory Probab. Appl., 59:2 (2015), 208–221
2014
35.
L. M. Arutyunyan, E. D. Kosov, I. S. Yaroslavtsev, “On some properties of polynomials measurable with respect to a Gaussian measure”, Doklady Mathematics, 90:1 (2014), 419–423
2012
36.
E. D. Kosov, “Supports of measures with weak moments”, Doklady Mathematics, 86:3 (2012), 776–780
2024
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