P. B. Zatitskiy, P. Ivanishvili, D. M. Stolyarov, “Bellman vs Beurling: sharp estimates of uniform convexity for $L^p$ spaces”, Algebra i Analiz, 27:2 (2015), 218–231; St. Petersburg Math. J., 27:2 (2016), 333

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Algebra i Analiz, 2015, Volume 27, Issue 2, Pages 218–231 (Mi aa1431)

This article is cited in 9 scientific papers (total in 9 papers)

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Bellman vs Beurling: sharp estimates of uniform convexity for

L^{p}

$L^p$ spaces

P. B. Zatitskiy^ab, P. Ivanishvili^c, D. M. Stolyarov^ba

^a Chebyshev Laboratory, St. Petersburg State University, Department of Mathematics and Mechanics, St. Petersburg, Russia
^b St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
^c Michigan State University, USA

Full-text PDF (308 kB) Citations (9)

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Received: 21.09.2014

English version:
St. Petersburg Mathematical Journal, 2016, Volume 27, Issue 2, Pages 333–343
DOI: https://doi.org/10.1090/spmj/1390

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: P. B. Zatitskiy, P. Ivanishvili, D. M. Stolyarov, “Bellman vs Beurling: sharp estimates of uniform convexity for

L^{p}

$L^p$ spaces”, Algebra i Analiz, 27:2 (2015), 218–231; St. Petersburg Math. J., 27:2 (2016), 333–343

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/aa1431

https://www.mathnet.ru/eng/aa/v27/i2/p218

This publication is cited in the following 9 articles:

Vasily Vasyunin, Alexander Volberg, The Bellman Function Technique in Harmonic Analysis, 2020
A. Osekowski, “A sharp estimate for muckenhoupt class a infinity and bmo”, Positivity, 23:3 (2019), 711–725
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
H. Hedenmalm, D. M. Stolyarov, V. I. Vasyunin, P. B. Zatitskiy, “Sharpening Hölder's inequality”, J. Funct. Anal., 275:5 (2018), 1280–1319
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.
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
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
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
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

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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