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Sharp Lp estimates on BMO. / Slavin, Leonid; Vasyunin, Vasily.

In: Indiana University Mathematics Journal, Vol. 61, No. 3, 01.12.2012, p. 1051-1110.

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

Harvard

Slavin, L & Vasyunin, V 2012, 'Sharp Lp estimates on BMO', Indiana University Mathematics Journal, vol. 61, no. 3, pp. 1051-1110. https://doi.org/10.1512/iumj.2012.61.4651

APA

Slavin, L., & Vasyunin, V. (2012). Sharp Lp estimates on BMO. Indiana University Mathematics Journal, 61(3), 1051-1110. https://doi.org/10.1512/iumj.2012.61.4651

Vancouver

Slavin L, Vasyunin V. Sharp Lp estimates on BMO. Indiana University Mathematics Journal. 2012 Dec 1;61(3):1051-1110. https://doi.org/10.1512/iumj.2012.61.4651

Author

Slavin, Leonid ; Vasyunin, Vasily. / Sharp Lp estimates on BMO. In: Indiana University Mathematics Journal. 2012 ; Vol. 61, No. 3. pp. 1051-1110.

BibTeX

@article{880ceba65ec1407ca80ecb14d14e0652,
title = "Sharp Lp estimates on BMO",
abstract = "We construct the upper and lower Bellman functions for the Lp (quasi)-norms of BMOfunctions. These appear as solutions to a series of Monge-Amp{\`e}re boundary value problems on a non-convex plane domain. The knowledge of the Bellman functions leads to sharp constants in inequalities relating average oscillations of BMO functions and various BMO norms.",
keywords = "BMO, Explicit Bellman function, Monge-Amp{\`e}re equation, Norm equivalence",
author = "Leonid Slavin and Vasily Vasyunin",
year = "2012",
month = dec,
day = "1",
doi = "10.1512/iumj.2012.61.4651",
language = "English",
volume = "61",
pages = "1051--1110",
journal = "Indiana University Mathematics Journal",
issn = "0022-2518",
publisher = "Indiana University",
number = "3",

}

RIS

TY - JOUR

T1 - Sharp Lp estimates on BMO

AU - Slavin, Leonid

AU - Vasyunin, Vasily

PY - 2012/12/1

Y1 - 2012/12/1

N2 - We construct the upper and lower Bellman functions for the Lp (quasi)-norms of BMOfunctions. These appear as solutions to a series of Monge-Ampère boundary value problems on a non-convex plane domain. The knowledge of the Bellman functions leads to sharp constants in inequalities relating average oscillations of BMO functions and various BMO norms.

AB - We construct the upper and lower Bellman functions for the Lp (quasi)-norms of BMOfunctions. These appear as solutions to a series of Monge-Ampère boundary value problems on a non-convex plane domain. The knowledge of the Bellman functions leads to sharp constants in inequalities relating average oscillations of BMO functions and various BMO norms.

KW - BMO

KW - Explicit Bellman function

KW - Monge-Ampère equation

KW - Norm equivalence

UR - http://www.scopus.com/inward/record.url?scp=84880908190&partnerID=8YFLogxK

U2 - 10.1512/iumj.2012.61.4651

DO - 10.1512/iumj.2012.61.4651

M3 - Article

AN - SCOPUS:84880908190

VL - 61

SP - 1051

EP - 1110

JO - Indiana University Mathematics Journal

JF - Indiana University Mathematics Journal

SN - 0022-2518

IS - 3

ER -

ID: 49879026