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Monge-Ampère equations and Bellman functions : The dyadic maximal operator. / Slavin, Leonid; Stokolos, Alexander; Vasyunin, Vasily.

в: Comptes Rendus Mathematique, Том 346, № 9-10, 01.05.2008, стр. 585-588.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Slavin, L, Stokolos, A & Vasyunin, V 2008, 'Monge-Ampère equations and Bellman functions: The dyadic maximal operator', Comptes Rendus Mathematique, Том. 346, № 9-10, стр. 585-588. https://doi.org/10.1016/j.crma.2008.03.003

APA

Slavin, L., Stokolos, A., & Vasyunin, V. (2008). Monge-Ampère equations and Bellman functions: The dyadic maximal operator. Comptes Rendus Mathematique, 346(9-10), 585-588. https://doi.org/10.1016/j.crma.2008.03.003

Vancouver

Slavin L, Stokolos A, Vasyunin V. Monge-Ampère equations and Bellman functions: The dyadic maximal operator. Comptes Rendus Mathematique. 2008 Май 1;346(9-10):585-588. https://doi.org/10.1016/j.crma.2008.03.003

Author

Slavin, Leonid ; Stokolos, Alexander ; Vasyunin, Vasily. / Monge-Ampère equations and Bellman functions : The dyadic maximal operator. в: Comptes Rendus Mathematique. 2008 ; Том 346, № 9-10. стр. 585-588.

BibTeX

@article{3bba25c4c4b645549800354ee9857c7c,
title = "Monge-Amp{\`e}re equations and Bellman functions: The dyadic maximal operator",
abstract = "We find explicitly the Bellman function for the dyadic maximal operator on Lp as the solution of a Bellman partial differential equation of Monge-Amp{\`e}re type. This function has been previously found by A. Melas (2005) in a different way, but it is our partial differential equation-based approach that is of principal interest here. Clear and replicable, it holds promise as a unifying template for past and current Bellman function investigations. To cite this article: L. Slavin et al., C. R. Acad. Sci. Paris, Ser. I 346 (2008).",
author = "Leonid Slavin and Alexander Stokolos and Vasily Vasyunin",
year = "2008",
month = may,
day = "1",
doi = "10.1016/j.crma.2008.03.003",
language = "English",
volume = "346",
pages = "585--588",
journal = "Comptes Rendus Mathematique",
issn = "1631-073X",
publisher = "Elsevier",
number = "9-10",

}

RIS

TY - JOUR

T1 - Monge-Ampère equations and Bellman functions

T2 - The dyadic maximal operator

AU - Slavin, Leonid

AU - Stokolos, Alexander

AU - Vasyunin, Vasily

PY - 2008/5/1

Y1 - 2008/5/1

N2 - We find explicitly the Bellman function for the dyadic maximal operator on Lp as the solution of a Bellman partial differential equation of Monge-Ampère type. This function has been previously found by A. Melas (2005) in a different way, but it is our partial differential equation-based approach that is of principal interest here. Clear and replicable, it holds promise as a unifying template for past and current Bellman function investigations. To cite this article: L. Slavin et al., C. R. Acad. Sci. Paris, Ser. I 346 (2008).

AB - We find explicitly the Bellman function for the dyadic maximal operator on Lp as the solution of a Bellman partial differential equation of Monge-Ampère type. This function has been previously found by A. Melas (2005) in a different way, but it is our partial differential equation-based approach that is of principal interest here. Clear and replicable, it holds promise as a unifying template for past and current Bellman function investigations. To cite this article: L. Slavin et al., C. R. Acad. Sci. Paris, Ser. I 346 (2008).

UR - http://www.scopus.com/inward/record.url?scp=42649083996&partnerID=8YFLogxK

U2 - 10.1016/j.crma.2008.03.003

DO - 10.1016/j.crma.2008.03.003

M3 - Article

AN - SCOPUS:42649083996

VL - 346

SP - 585

EP - 588

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

SN - 1631-073X

IS - 9-10

ER -

ID: 49879649