Pavel Zatitskii

Peer Reviewed Publications

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

Vasyunin V.; Zatitskiy P.; Zlotnikov I. (2022. ) Sharp multiplicative inequalities with BMO II.Journal of Mathematical Analysis and Applications, , 515 (2 ) , More 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

Stolyarov D.; Zatitskiy P. (2021. ) Sharp transference principle for BMO and A_p.Journal of Functional Analysis, , 281 (6 ) , 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.; Vasyunin V.; Zatitskiy P. (2020. ) Sharp multiplicative inequalities with BMO I.Journal of Mathematical Analysis and Applications, , 492 (2 ) , More 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

Stolyarov D.; Vasyunin V.; Zatitskiy P.; Zlotnikov I. (08-01-2019. ) Distribution of martingales with bounded square functions.Comptes Rendus Mathematique, , 357 (8 ) ,671-675 More 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, , 622 , More 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 ) ,258-269 More 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 ) ,1-148 More 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 ) ,1280-1319 More Information

Vershik A.M.; Zatitskii P.B. (01-01-2017. ) Universal adic approximation, invariant measures and scaled entropy.Izvestiya Mathematics, , 81 (4 ) ,734-770 More Information

Zatitskiy P. (06-01-2016. ) On The Possible Growth Rate of a Scaling Entropy Sequence.Journal of Mathematical Sciences (United States), , 215 (6 ) ,715-733 More Information

Zatitskiy P.; Petrov F. (06-01-2016. ) On the Subadditivity of a Scaling Entropy Sequence.Journal of Mathematical Sciences (United States), , 215 (6 ) ,734-737 More 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 ) ,3415-3468 More 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 ,228-273 More 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 ) ,393-398 More Information

Zatitskiy P.; Ivanisvili P.; Stolyarov D. (01-01-2016. ) Bellman vs. beurling: Sharp estimates of uniform convexity for L^p spaces.St. Petersburg Mathematical Journal, , 27 (2 ) ,333-343 More Information

Zatitskiy P.B. (09-01-2015. ) Scaling Entropy Sequence: Invariance and Examples.Journal of Mathematical Sciences (United States), , 209 (6 ) ,890-909 More Information

Stolyarov D.; Vasyunin V.; Zatitskiy P. (01-01-2015. ) Monotonic rearrangements of functions with small mean oscillation.Studia Mathematica, , 231 (3 ) ,257-267 More 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 ) ,1081-1085 More 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 ) ,2913-2926 More Information

Zatitskiy P.B. (12-17-2014. ) On a scaling entropy sequence of a dynamical system.Functional Analysis and its Applications, , 48 (4 ) ,291-294 More 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 ) ,365-389 More 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 ) ,1031-1063 More 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 ) ,165-173 More 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 ) ,591-595 More 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 ) ,379-400 More 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 ) ,561-564 More Information

Zatitskiy P.; Petrov F. (03-01-2012. ) Correction of metrics.Journal of Mathematical Sciences, , 181 (6 ) ,867-870 More Information

Zatitskiy P.; Nazarov A.; Stolyarov D. (02-01-2012. ) Formula of regularized traces.Doklady Mathematics, , 85 (1 ) ,29-32 More Information

Zatitskiy P. (04-01-2011. ) Canonical embeddings of compact metric spaces.Journal of Mathematical Sciences, , 174 (1 ) ,19-22 More Information

Petrov F.; Stolyarov D.; Zatitskiy P. (01-01-2010. ) On embeddings of finite metric spaces in lⁿ?.Mathematika, , 56 (1 ) ,135-139 More Information

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 ) ,853-857 More Information