1. P. Ivanishvili, S. V. Kislyakov, Correction up to a function with sparse spectrum and uniformly convergent Fourier series, Zap. Nauchn. Sem. POMI, Vol. 376, 25-47, (2010)
2. P. Ivanishvili, N. N. Osipov, D. M. Stolyarov, V. I. Vasyunin, P. B. Zatitskiy, Bellman function for extremal problems on $\text{BMO}$, Comptes Rendus Mathematique, Volume 350, Issues 11-12, Pages 561-564, June (2012)
3. P. Ivanishvili, $J$-closed finite collections of Hardy-type subspaces, Zap. Nauchn. Sem. POMI, Vol. 401, 82-92 (2012)
4. P. Ivanisvili, N. N. Osipov, D. M. Stolyarov, V. I. Vasyunin, P. B. Zatitskiy, Bellman function for extremal problems in BMO, Trans. Amer. Math. Soc (2015) doi: dx.doi.org/10.1090/tran/6460
5. P. Ivanisvili Inequality for Burkholder's martingale transform. Analysis & PDE 8-4 (2015), 765--806. DOI 10.2140/apde.2015.8.765
6. P. Ivanisvili, Bellman function approach to the sharp constants in uniform convexity. Advances in Calculus of Variations DOI: 10.1515/acv-2016-0008, August 2016
7. P. Ivanisvili, D. M. Stolyarov, P. B. Zatitskiy Bellman VS Beurling: sharp estimates of uniform convexity for $L^p$ spaces (2014) To appear in St. Petersburg Mathematical Journal
8. P. Ivanisvili, A. Volberg Hessian of Bellman functions and uniqueness of Brascamp--Lieb inequality, J. London Math. Soc. (2015), doi:10.1112/jlms/jdv040
9. P. Ivanisvili, N. N. Osipov, D. M. Stolyarov, V. I. Vasyunin, P. B. Zatitskiy, Sharp estimates of integral functionals on classes of functions with small mean oscillation. To appear in Comptes Rendus Mathematique
10. P. Ivanisvili, A. Volberg Bellman partial differential equation and the hill property for classical isoperimetric problems (2015)
11. P. Ivanisvili, N. N. Osipov, D. M. Stolyarov, V. I. Vasyunin, P. B. Zatitskiy, Bellman function for extremal problems in BMO II: evolution., 148 pages, to appear in Memoirs of the AMS
12. P. Ivanisvili, A. Volberg Isoperimetric functional inequalities via the maximum principle: the exterior differential systems approach. (2015)
13. P. Ivanisvili, A bundling problem revisited. preprint, (2016)
14. P. Ivanisvili, B. Jaye F. Nazarov Lower bounds for uncentered maximal functions in any dimension, Int. Math. Res. Notices Vol. 2016, Issue 00, 2016
15. P. Ivanisvili, Boundary value problem and the Ehrhard inequality (2016)
16. P. Ivanisvili, A. Volberg, Improving Beckner's bound via Hermite functions (2016)
17. P. Ivanisvili, A. Volberg, F. Nazarov On weak and strong sharp weighted estimates of square function
18. P. Ivanisvili, A. Volberg, Poincaré inequality 3/2 on the Hamming cube
19. P. Ivanisvili, N. N. Osipov, D. M. Stolyarov, V. I. Vasyunin, P. B. Zatitskiy, Bellman functions on general non-convex planar domains.