Pavel Zatitskii
Assoc Professor
French Hall
4510
A&S Mathematical Sciences - 0025
Publications
Peer Reviewed Publications
Leonid Slavin; Pavel Zatitskii (2025). Monotone rearrangement does not increase generalized Campanato norm in VMO. Journal of Functional AnalysisMore Information
Randrianantoanina B.; Wojciechowski M.; Zatitskii P. (2024). On the relations between Auerbach or almost Auerbach Markushevich systems and Schauder bases. Journal of Functional Analysis, 287 (9) More Information
Vasyunin V.I.; Zatitskii P.B. (2024). Some Extremal Problems for Martingale Transforms. I. Journal of Mathematical Sciences (United States), 284 (6) , 735-766More Information
Zatitskii P.; Stolyarov D. (2024). On Locally Concave Functions on Simplest Nonconvex Domains. Journal of Mathematical Sciences (United States), 282 (4) , 482-510More Information
Bryc W.; Zatitskii P. (2024). A two-line representation of stationary measure for open TASEP. Electronic Journal of Probability, 29More Information
Abdrakhmanov M.; Slavin L.; Zatitskii P. (2024). MONOTONE REARRANGEMENT IN AVERAGING CLASSES. Proceedings of the American Mathematical Society, Series B, 11 (1) , 489-498More Information
Vershik A.M.; Veprev G.A.; Zatitskii P.B. (2023). Dynamics of metrics in measure spaces and scaling entropy. Russian Mathematical Surveys, 78 (3) , 443-499More Information
Stolyarov D.; Vasyunin V.; Zatitskiy P.; Zlotnikov I. (2022). Sharp moment estimates for martingales with uniformly bounded square functions. Mathematische Zeitschrift, 302 (1) , 181-217More Information
Vasyunin V.; Zatitskiy P.; Zlotnikov I. (2022). Sharp multiplicative inequalities with BMO II. Journal of Mathematical Analysis and Applications, 515 (2) More Information
Slavin L.; Zatitskii P. (2021). Dimension-Free Estimates for Semigroup BMO and Ap. Indiana University Mathematics Journal, 70 (6) , 2677-2692More Information
Stolyarov D.; Zatitskiy P. (2021). Sharp transference principle for BMO and A_p. Journal of Functional Analysis, 281 (6) More Information
Stolyarov D.; Vasyunin V.; Zatitskiy P. (2020). Sharp multiplicative inequalities with BMO I. Journal of Mathematical Analysis and Applications, 492 (2) More Information
Stolyarov D.; Vasyunin V.; Zatitskiy P.; Zlotnikov I. (08-01-2019). Distribution of martingales with bounded square functions. Comptes Rendus Mathematique, 357 (8) , 671-675More Information
Vavilov D.E.; Eggl S.; Medvedev Y.D.; Zatitskiy P.B. (02-01-2019). Shape evolution of cometary nuclei via anisotropic mass loss. Astronomy and Astrophysics, 622More Information
Vershik A.M.; Zatitskii P.B. (2019). On a Universal Borel Adic Space. Journal of Mathematical Sciences (United States), 240 (5) , 515-524More Information
Vershik A.M.; Zatitskiy P.B. (10-01-2018). Combinatorial Invariants of Metric Filtrations and Automorphisms; the Universal Adic Graph. Functional Analysis and its Applications, 52 (4) , 258-269More Information
Hedenmalm H.; Stolyarov D.M.; Vasyunin V.I.; Zatitskiy P.B. (09-01-2018). Sharpening Hölder's inequality. Journal of Functional Analysis, 275 (5) , 1280-1319More Information
Ivanisvili P.; Stolyarov D.M.; Vasyunin V.I.; Zatitskiy P.B. (09-01-2018). Bellman function for extremal problems in BMO II: Evolution. Memoirs of the American Mathematical Society, 255 (1220) , 1-148More Information
Vershik A.M.; Zatitskii P.B. (01-01-2017). Universal adic approximation, invariant measures and scaled entropy. Izvestiya Mathematics, 81 (4) , 734-770More Information
Zatitskiy P.; Petrov F. (06-01-2016). On the Subadditivity of a Scaling Entropy Sequence. Journal of Mathematical Sciences (United States), 215 (6) , 734-737More Information
Zatitskiy P. (06-01-2016). On The Possible Growth Rate of a Scaling Entropy Sequence. Journal of Mathematical Sciences (United States), 215 (6) , 715-733More Information
Ivanisvili P.; Osipov N.N.; Stolyarov D.M.; Vasyunin V.I.; Zatitskiy P.B. (05-01-2016). Bellman function for extremal problems in BMO. Transactions of the American Mathematical Society, 368 (5) , 3415-3468More Information
Stolyarov D.M.; Zatitskiy P.B. (03-19-2016). Theory of locally concave functions and its applications to sharp estimates of integral functionals. Advances in Mathematics, 291, 228-273More Information
Zatitskiy P.; Ivanisvili P.; Stolyarov D. (01-01-2016). Bellman vs. beurling: Sharp estimates of uniform convexity for Lp spaces. St. Petersburg Mathematical Journal, 27 (2) , 333-343More Information
Vershik A.; Zatitski? P.; Petrov F. (01-01-2016). Integration of virtually continuous functions over bistochastic measures and the trace formula for n. St. Petersburg Mathematical Journal, 27 (3) , 393-398More Information
Zatitskiy P.B. (09-01-2015). Scaling Entropy Sequence: Invariance and Examples. Journal of Mathematical Sciences (United States), 209 (6) , 890-909More Information
Logunov A.; Slavin L.; Stolyarov D.; Vasyunin V.; Zatitskiy P. (01-01-2015). Weak integral conditions for BMO. Proceedings of the American Mathematical Society, 143 (7) , 2913-2926More Information
Ivanisvili P.; Osipov N.N.; Stolyarov D.M.; Vasyunin V.I.; Zatitskiy P.B. (01-01-2015). Sharp estimates of integral functionals on classes of functions with small mean oscillation. Comptes Rendus Mathematique, 353 (12) , 1081-1085More Information
Stolyarov D.; Vasyunin V.; Zatitskiy P. (01-01-2015). Monotonic rearrangements of functions with small mean oscillation. Studia Mathematica, 231 (3) , 257-267More Information
Zatitskiy P.B. (12-17-2014). On a scaling entropy sequence of a dynamical system. Functional Analysis and its Applications, 48 (4) , 291-294More Information
Vershik A.M.; Zatitskiy P.B.; Petrov F.V. (01-01-2014). Virtual continuity of measurable functions and its applications. Russian Mathematical Surveys, 69 (6) , 1031-1063More Information
Nazarov A.; Stolyarov D.; Zatitskiy P. (01-01-2014). The Tamarkin equiconvergence theorem and a first-order trace formula for regular differential operat. Journal of Spectral Theory, 4 (2) , 365-389More Information
Vershik A.M.; Zatitskiy P.B.; Petrov F.V. (07-01-2013). Virtual continuity of measurable functions of several variables and embedding theorems. Functional Analysis and its Applications, 47 (3) , 165-173More Information
Glazman A.L.; Zatitski P.B.; Sivatski A.S.; Stolyarov D.M. (02-01-2013). Forms of higher degree over certain fields. Journal of Mathematical Sciences (United States), 188 (5) , 591-595More Information
Vershik A.; Zatitskiy P.; Petrov F. (01-01-2013). Geometry and dynamics of admissible metrics in measure spaces. Central European Journal of Mathematics, 11 (3) , 379-400More Information
Ivanishvili P.; Osipov N.N.; Stolyarov D.M.; Vasyunin V.I.; Zatitskiy P.B. (06-01-2012). On Bellman function for extremal problems in BMO. Comptes Rendus Mathematique, 350 (11-12) , 561-564More Information
Zatitskiy P.; Petrov F. (03-01-2012). Correction of metrics. Journal of Mathematical Sciences, 181 (6) , 867-870More Information
Zatitskiy P.; Nazarov A.; Stolyarov D. (02-01-2012). Formula of regularized traces. Doklady Mathematics, 85 (1) , 29-32More Information
Zatitskiy P. (04-01-2011). Canonical embeddings of compact metric spaces. Journal of Mathematical Sciences, 174 (1) , 19-22More Information
Petrov F.; Stolyarov D.; Zatitskiy P.
(01-01-2010).
On embeddings of finite metric spaces in ln
Zatitskiy P. (05-01-2009). On the coincidence of the canonical embeddings of a metric space into a Banach space. Journal of Mathematical Sciences, 158 (6) , 853-857More Information