[1] V. I. Bogachev, “Negligible sets and differentiable measures in Banach spaces”, Moscow Univ. Math. Bull., 37:3 (1982), 54–59 | MR | Zbl

[2] V. I. Bogachev, “Three problems of Aronszajn in measure theory”, Funct. Anal. Appl., 18:3 (1984), 242–244 | DOI | MR | Zbl

[3] V. I. Bogachev, “Some results on differentiable measures”, Math. USSR-Sb., 55:2 (1986), 335–349 | DOI | MR | Zbl

[4] V. I. Bogachev, “On Skorokhod differentiability of measures”, Theory Probab. Appl., 33:2 (1988), 330–334 | DOI | MR | Zbl

[5] V. I. Bogachev, O. G. Smolyanov, “Analytic properties of infinite-dimensional distributions”, Russian Math. Surveys, 45:3 (1990), 1–104 | DOI | MR | Zbl

[6] V. I. Bogachev, “Functionals of random processes and infinite-dimensional oscillatory integrals connected with them”, Russian Acad. Sci. Izv. Math., 40:2 (1993), 235–266 | DOI | MR | Zbl

[7] V. I. Bogachev, M. Röckner, “Les capacités gaussiennes sont portées par des compacts métrisables”, C. R. Acad. Sci. Paris Sér. I Math., 315:2 (1992), 197–202 | MR | Zbl

[8] V. I. Bogachev, M. Röckner, “Regularity of invariant measures on finite and infinite dimensional spaces and applications”, J. Funct. Anal., 133:1 (1995), 168–223 | DOI | MR | Zbl

[9] V. I. Bogachev, M. Röckner, B. Schmuland, “Generalized Mehler semigroups and applications”, Probab. Theory Related Fields, 105:2 (1996), 193–225 | DOI | MR | Zbl

[10] V. I. Bogachev, Gaussian measures, Math. Surveys Monogr., 62, Amer. Math. Soc., Providence, RI, 1998, xii+433 pp. | DOI | MR | MR | Zbl | Zbl

[11] V. I. Bogachev, “On the small balls problem for equivalent Gaussian measures”, Sb. Math., 189:5 (1998), 683–705 | DOI | DOI | MR | Zbl

[12] S. Albeverio, V. Bogachev, M. Röckner, “On uniqueness of invariant measures for finite- and infinite-dimensional diffusions”, Comm. Pure Appl. Math., 52:3 (1999), 325–362 | 3.0.CO;2-V class='badge bg-secondary rounded-pill ref-badge extid-badge'>DOI | MR | Zbl

[13] V. Bogachev, M. Röckner, “A generalization of Khasminskii's theorem on the existence of invariant measures for locally integrable drifts”, Theory Probab. Appl., 45:3 (2001), 363–378 | DOI | DOI | MR | Zbl

[14] V. I. Bogachev, A. V. Kolesnikov, “Open mappings of probability measures and the Skorokhod representation theorem”, Theory Probab. Appl., 46:1 (2002), 20–38 | DOI | DOI | MR | Zbl

[15] V. I. Bogachev, N. V. Krylov, M. Röckner, “On regularity of transition probabilities and invariant measures of singular diffusions under minimal conditions”, Comm. Partial Differential Equations, 26:11-12 (2001), 2037–2080 | DOI | MR | Zbl

[16] V. I. Bogachev, M. Röckner, W. Stannat, “Uniqueness of solutions of elliptic equations and uniqueness of invariant measures of diffusions”, Sb. Math., 193:7 (2002), 945–976 | DOI | DOI | MR | Zbl

[17] V. I. Bogachev, Osnovy teorii mery, v. 1, 2, NITs “Regulyarnaya i khaoticheskaya dinamika”, M.–Izhevsk, 2003, 544 s., 576 pp.; 2-Рμ РёР·Рґ., 2006, 584 c., 680 СЃ.; 3-Рμ РёР·Рґ., 2020, 584 c., 688 СЃ.; V. I. Bogachev, Measure theory, С‚. I, II, Springer-Verlag, Berlin, 2007, xviii+500 pp., xiv+575 СЃ. | DOI | MR | Zbl

[18] V. I. Bogachev, A. V. Kolesnikov, “On the Monge–Ampère equation in infinite dimensions”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 8:4 (2005), 547–572 | DOI | MR | Zbl

[19] V. I. Bogachev, A. V. Kolesnikov, K. V. Medvedev, “Triangular transformations of measures”, Sb. Math., 196:3 (2005), 309–335 | DOI | DOI | MR | Zbl

[20] V. I. Bogachev, È. Priola, N. A. Tolmachev, “On Fréchet differentiability of Lipschitzian functions on spaces with Gaussian measures”, Dokl. Math., 75:3 (2007), 353–357 | DOI | MR | Zbl

[21] V. I. Bogachev, Differentiable measures and the Malliavin calculus, Math. Surveys Monogr., 164, Amer. Math. Soc., Providence, RI, 2010, xvi+488 pp. | DOI | MR | Zbl

[22] V. I. Bogachev, N. V. Krylov, M. Röckner, “Elliptic and parabolic equations for measures”, Russian Math. Surveys, 64:6 (2009), 973–1078 | DOI | DOI | MR | Zbl

[23] V. I. Bogachev, O. G. Smolyanov, Deistvitelnyi i funktsionalnyi analiz: universitetskii kurs, NITs “Regulyarnaya i khaoticheskaya dinamika”, M.–Izhevsk, 2009, 724 pp.; 2-Рμ РёР·Рґ., 2011, 728 СЃ.; 3-Рμ РёР·Рґ., 2020, 756 СЃ.; V. I. Bogachev, O. G. Smolyanov, Real and functional analysis, Mosc. Lect., 4, Springer, Cham, 2020, 586 СЃ. | DOI | MR | Zbl

[24] V. I. Bogachev, A. V. Kolesnikov, “The Monge–Kantorovich problem: achievements, connections, and perspectives”, Russian Math. Surveys, 67:5 (2012), 785–890 | DOI | DOI | MR | Zbl

[25] V. I. Bogachev, A. V. Kolesnikov, “Sobolev regularity for the Monge–Ampère equation in the Wiener space”, Kyoto J. Math., 53:4 (2013), 713–738 | DOI | MR | Zbl

[26] V. I. Bogachev, N. V. Krylov, M. Röckner, S. V. Shaposhnikov, Fokker–Planck–Kolmogorov equations, Math. Surveys Monogr., 207, Amer. Math. Soc., Providence, RI, 2015, xii+479 pp. | DOI | MR | Zbl

[27] V. I. Bogachev, A. Yu. Pilipenko, A. V. Shaposhnikov, “Sobolev functions on infinite-dimensional domains”, J. Math. Anal. Appl., 419:2 (2014), 1023–1044 | DOI | MR | Zbl

[28] V. I. Bogachev, “Distributions of polynomials on multidimensional and infinite-dimensional spaces with measures”, Russian Math. Surveys, 71:4 (2016), 703–749 | DOI | DOI | MR | Zbl

[29] V. I. Bogachev, M. Röckner, S. V. Shaposhnikov, “Distances between transition probabilities of diffusions and applications to nonlinear Fokker–Planck–Kolmogorov equations”, J. Funct. Anal., 271:5 (2016), 1262–1300 | DOI | MR | Zbl

[30] V. I. Bogachev, S. V. Shaposhnikov, “Integrability and continuity of solutions to double divergence form equations”, Ann. Mat. Pura Appl. (4), 196:5 (2017), 1609–1635 | DOI | MR | Zbl

[31] V. I. Bogachev, O. G. Smolyanov, Topological vector spaces and their applications, Springer Monogr. Math., Springer, Cham, 2017, x+456 pp. | DOI | MR | Zbl

[32] V. I. Bogachev, “Ornstein–Uhlenbeck operators and semigroups”, Russian Math. Surveys, 73:2 (2018), 191–260 | DOI | DOI | MR | Zbl

[33] V. I. Bogachev, Weak convergence of measures, Math. Surveys Monogr., 234, Amer. Math. Soc., Providence, RI, 2018, xii+286 pp. | DOI | MR | Zbl

[34] 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”, Trans. Amer. Math. Soc., 370:6 (2018), 4401–4432 | DOI | MR | Zbl

[35] V. I. Bogachev, S. N. Popova, S. V. Shaposhnikov, “On Sobolev regularity of solutions to Fokker–Planck–Kolmogorov equations with drifts in $L^1$”, Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl., 30:1 (2019), 205–221 | DOI | MR | Zbl

[36] V. I. Bogachev, M. Röckner, S. V. Shaposhnikov, “Convergence in variation of solutions of nonlinear Fokker–Planck–Kolmogorov equations to stationary measures”, J. Funct. Anal., 276:12 (2019), 3681–3713 | DOI | MR | Zbl

[37] V. I. Bogachev, A. V. Shaposhnikov, S. V. Shaposhnikov, “Log-Sobolev-type inequalities for solutions to stationary Fokker–Planck–Kolmogorov equations”, Calc. Var. Partial Differential Equations, 58:5 (2019), 176, 16 pp. | DOI | MR | Zbl

[38] V. I. Bogachev, “Non-uniform Kozlov–Treschev averagings in the ergodic theorem”, Russian Math. Surveys, 75:3 (2020), 393–425 | DOI | DOI | MR | Zbl

[39] V. I. Bogachev, T. I. Krasovitskii, S. V. Shaposhnikov, “The Kolmogorov problem on uniqueness of probability solutions of a parabolic equation”, Dokl. Math., 102:3 (2020), 464–467 | DOI | DOI

[40] V. I. Bogachev, I. I. Malofeev, “Kantorovich problems and conditional measures depending on a parameter”, J. Math. Anal. Appl., 486:1 (2020), 123883, 30 pp. | DOI | MR | Zbl