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Sharp estimates of integral functionals on classes of functions with small mean oscillation. / Ivanisvili, P.; Osipov, N.N.; Stolyarov, D.M.; Vasyunin, V.I.; Zatitskiy, P.B.

In: Comptes Rendus Mathematique, Vol. 353, No. 12, 2015, p. 1081-1085.

Research output: Contribution to journal › Article

Harvard

Ivanisvili, P, Osipov, NN, Stolyarov, DM, Vasyunin, VI & Zatitskiy, PB 2015, 'Sharp estimates of integral functionals on classes of functions with small mean oscillation', Comptes Rendus Mathematique, vol. 353, no. 12, pp. 1081-1085. https://doi.org/10.1016/j.crma.2015.07.016

APA

Ivanisvili, P., Osipov, N. N., Stolyarov, D. M., Vasyunin, V. I., & Zatitskiy, P. B. (2015). Sharp estimates of integral functionals on classes of functions with small mean oscillation. Comptes Rendus Mathematique, 353(12), 1081-1085. https://doi.org/10.1016/j.crma.2015.07.016

Vancouver

Ivanisvili P, Osipov NN, Stolyarov DM, Vasyunin VI, Zatitskiy PB. Sharp estimates of integral functionals on classes of functions with small mean oscillation. Comptes Rendus Mathematique. 2015;353(12):1081-1085. https://doi.org/10.1016/j.crma.2015.07.016

Author

Ivanisvili, P. ; Osipov, N.N. ; Stolyarov, D.M. ; Vasyunin, V.I. ; Zatitskiy, P.B. / Sharp estimates of integral functionals on classes of functions with small mean oscillation. In: Comptes Rendus Mathematique. 2015 ; Vol. 353, No. 12. pp. 1081-1085.

BibTeX

@article{1f3a86dcbdaa4a5d9aacd7d52c3f2a58,
title = "Sharp estimates of integral functionals on classes of functions with small mean oscillation",
abstract = "We unify several Bellman function problems treated in [1,2,4-6,9-12,14-16,18-25]. For that purpose, we define a class of functions that have, in a sense, small mean oscillation (this class depends on two convex sets in R-2). We show how the unit ball in the BMO space, or a Muckenhoupt class, or a Gehring class can be described in such a fashion. Finally, we consider a Bellman function problem on these classes, discuss its solution and related questions. (C) 2015 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.",
author = "P. Ivanisvili and N.N. Osipov and D.M. Stolyarov and V.I. Vasyunin and P.B. Zatitskiy",
year = "2015",
doi = "10.1016/j.crma.2015.07.016",
language = "English",
volume = "353",
pages = "1081--1085",
journal = "Comptes Rendus Mathematique",
issn = "1631-073X",
publisher = "Elsevier",
number = "12",

}

RIS

TY - JOUR

T1 - Sharp estimates of integral functionals on classes of functions with small mean oscillation

AU - Ivanisvili, P.

AU - Osipov, N.N.

AU - Stolyarov, D.M.

AU - Vasyunin, V.I.

AU - Zatitskiy, P.B.

PY - 2015

Y1 - 2015

N2 - We unify several Bellman function problems treated in [1,2,4-6,9-12,14-16,18-25]. For that purpose, we define a class of functions that have, in a sense, small mean oscillation (this class depends on two convex sets in R-2). We show how the unit ball in the BMO space, or a Muckenhoupt class, or a Gehring class can be described in such a fashion. Finally, we consider a Bellman function problem on these classes, discuss its solution and related questions. (C) 2015 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

AB - We unify several Bellman function problems treated in [1,2,4-6,9-12,14-16,18-25]. For that purpose, we define a class of functions that have, in a sense, small mean oscillation (this class depends on two convex sets in R-2). We show how the unit ball in the BMO space, or a Muckenhoupt class, or a Gehring class can be described in such a fashion. Finally, we consider a Bellman function problem on these classes, discuss its solution and related questions. (C) 2015 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

U2 - 10.1016/j.crma.2015.07.016

DO - 10.1016/j.crma.2015.07.016

M3 - Article

VL - 353

SP - 1081

EP - 1085

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

SN - 1631-073X

IS - 12

ER -

ID: 3988851