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Sharp results in the integral-form John-Nirenberg inequality. / Slavin, L.; Vasyunin, V.

In: Transactions of the American Mathematical Society, Vol. 363, No. 8, 01.08.2011, p. 4135-4169.

Research output: Contribution to journal › Article › peer-review

Harvard

Slavin, L & Vasyunin, V 2011, 'Sharp results in the integral-form John-Nirenberg inequality', Transactions of the American Mathematical Society, vol. 363, no. 8, pp. 4135-4169. https://doi.org/10.1090/S0002-9947-2011-05112-3

APA

Slavin, L., & Vasyunin, V. (2011). Sharp results in the integral-form John-Nirenberg inequality. Transactions of the American Mathematical Society, 363(8), 4135-4169. https://doi.org/10.1090/S0002-9947-2011-05112-3

Vancouver

Slavin L, Vasyunin V. Sharp results in the integral-form John-Nirenberg inequality. Transactions of the American Mathematical Society. 2011 Aug 1;363(8):4135-4169. https://doi.org/10.1090/S0002-9947-2011-05112-3

Author

Slavin, L. ; Vasyunin, V. / Sharp results in the integral-form John-Nirenberg inequality. In: Transactions of the American Mathematical Society. 2011 ; Vol. 363, No. 8. pp. 4135-4169.

BibTeX

@article{a6c19766c7db44ebbae14ee2770b25c6,
title = "Sharp results in the integral-form John-Nirenberg inequality",
abstract = "We consider the strong form of the John-Nirenberg inequality for the L2-based BMO. We construct explicit Bellman functions for the inequality in the continuous and dyadic settings and obtain the sharp constant, as well as the precise bound on the inequality's range of validity, both previously unknown. The results for the two cases are substantially different. The paper not only gives another instance in the short list of such explicit calculations, but also presents the Bellman function method as a sequence of clear steps, adaptable to a wide variety of applications.",
keywords = "Bellman function method, BMO, John-Nirenberg inequality",
author = "L. Slavin and V. Vasyunin",
year = "2011",
month = aug,
day = "1",
doi = "10.1090/S0002-9947-2011-05112-3",
language = "English",
volume = "363",
pages = "4135--4169",
journal = "Transactions of the American Mathematical Society",
issn = "0002-9947",
publisher = "American Mathematical Society",
number = "8",

}

RIS

TY - JOUR

T1 - Sharp results in the integral-form John-Nirenberg inequality

AU - Slavin, L.

AU - Vasyunin, V.

PY - 2011/8/1

Y1 - 2011/8/1

N2 - We consider the strong form of the John-Nirenberg inequality for the L2-based BMO. We construct explicit Bellman functions for the inequality in the continuous and dyadic settings and obtain the sharp constant, as well as the precise bound on the inequality's range of validity, both previously unknown. The results for the two cases are substantially different. The paper not only gives another instance in the short list of such explicit calculations, but also presents the Bellman function method as a sequence of clear steps, adaptable to a wide variety of applications.

AB - We consider the strong form of the John-Nirenberg inequality for the L2-based BMO. We construct explicit Bellman functions for the inequality in the continuous and dyadic settings and obtain the sharp constant, as well as the precise bound on the inequality's range of validity, both previously unknown. The results for the two cases are substantially different. The paper not only gives another instance in the short list of such explicit calculations, but also presents the Bellman function method as a sequence of clear steps, adaptable to a wide variety of applications.

KW - Bellman function method

KW - BMO

KW - John-Nirenberg inequality

UR - http://www.scopus.com/inward/record.url?scp=79959313894&partnerID=8YFLogxK

U2 - 10.1090/S0002-9947-2011-05112-3

DO - 10.1090/S0002-9947-2011-05112-3

M3 - Article

AN - SCOPUS:79959313894

VL - 363

SP - 4135

EP - 4169

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

SN - 0002-9947

IS - 8

ER -

ID: 49879215