Bellman vs Beurling: sharp estimates of uniform convexity for $L^p$ spaces
P. B. Zatitskiy, P. Ivanishvili, D. M. Stolyarov

This publication is cited in the following articles:

1. J de Dios Pont, P. Ivanisvili, J. Madrid, “A New Proof of the Description of the Convex Hull of Space Curves with Totally Positive Torsion”, Michigan Math. J., -1:-1 (2025)  
2. Vasily Vasyunin, Alexander Volberg, The Bellman Function Technique in Harmonic Analysis, 2020  
3. A. Osekowski, “A sharp estimate for muckenhoupt class a infinity and bmo”, Positivity, 23:3 (2019), 711–725      
4. E. N. Nikolidakis, “Extremal sequences for the bellman function of three variables of the dyadic maximal operator related to Kolmogorov's inequality”, Trans. Am. Math. Soc., 372:9 (2019), 6315–6342          
5. H. Hedenmalm, D. M. Stolyarov, V. I. Vasyunin, P. B. Zatitskiy, “Sharpening Hölder's inequality”, J. Funct. Anal., 275:5 (2018), 1280–1319          
6. P. Ivanisvili, D. M. Stolyarov, V. Vasyunin, P. B. Zatitskiy, Bellman function for extremal problems in BMO II: evolution, Mem. Am. Math. Soc., 255, no. 1220, 2018, v+133 pp.    
7. A. D. Melas, E. N. Nikolidakis, “Sharp Lorentz estimates for dyadic-like maximal operators and related Bellman functions”, J. Geom. Anal., 27:4 (2017), 2644–2657          
8. A. D. Melas, E. N. Nikolidakis, D. Cheliotis, “Estimates for Bellman functions related to dyadic-like maximal operators on weighted spaces”, Studia Math., 239:1 (2017), 1–16          
9. D. M. Stolyarov, P. B. Zatitskiy, “Theory of locally concave functions and its applications to sharp estimates of integral functionals”, Adv. Math., 291 (2016), 228–273            
10. 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”, C. R. Math., 353:12 (2015), 1081–1085