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The bellman functions for a certain two-weight inequality : A case study. / Vasyunin, V.; Volberg, A.

In: St. Petersburg Mathematical Journal, Vol. 18, No. 2, 01.01.2007, p. 201-222.

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

Harvard

Vasyunin, V & Volberg, A 2007, 'The bellman functions for a certain two-weight inequality: A case study', St. Petersburg Mathematical Journal, vol. 18, no. 2, pp. 201-222. https://doi.org/10.1090/S1061-0022-07-00953-3

APA

Vasyunin, V., & Volberg, A. (2007). The bellman functions for a certain two-weight inequality: A case study. St. Petersburg Mathematical Journal, 18(2), 201-222. https://doi.org/10.1090/S1061-0022-07-00953-3

Vancouver

Vasyunin V, Volberg A. The bellman functions for a certain two-weight inequality: A case study. St. Petersburg Mathematical Journal. 2007 Jan 1;18(2):201-222. https://doi.org/10.1090/S1061-0022-07-00953-3

Author

Vasyunin, V. ; Volberg, A. / The bellman functions for a certain two-weight inequality : A case study. In: St. Petersburg Mathematical Journal. 2007 ; Vol. 18, No. 2. pp. 201-222.

BibTeX

@article{3ae06e1639ce4d3db1866e86af36af75,
title = "The bellman functions for a certain two-weight inequality: A case study",
abstract = "A formula is presented for the exact Bellman function of a certain “toy” two-weight problem. This adds one more function to a short list of other Bellman functions for which the precise expressions have recently been found. The case study reveals essential features of finding Bellman functions in general and gives the extremal sequences for the problem. Some open questions are posed.",
keywords = "Bellman function, Sawyer test, Two-weight estimate",
author = "V. Vasyunin and A. Volberg",
year = "2007",
month = jan,
day = "1",
doi = "10.1090/S1061-0022-07-00953-3",
language = "English",
volume = "18",
pages = "201--222",
journal = "St. Petersburg Mathematical Journal",
issn = "1061-0022",
publisher = "American Mathematical Society",
number = "2",

}

RIS

TY - JOUR

T1 - The bellman functions for a certain two-weight inequality

T2 - A case study

AU - Vasyunin, V.

AU - Volberg, A.

PY - 2007/1/1

Y1 - 2007/1/1

N2 - A formula is presented for the exact Bellman function of a certain “toy” two-weight problem. This adds one more function to a short list of other Bellman functions for which the precise expressions have recently been found. The case study reveals essential features of finding Bellman functions in general and gives the extremal sequences for the problem. Some open questions are posed.

AB - A formula is presented for the exact Bellman function of a certain “toy” two-weight problem. This adds one more function to a short list of other Bellman functions for which the precise expressions have recently been found. The case study reveals essential features of finding Bellman functions in general and gives the extremal sequences for the problem. Some open questions are posed.

KW - Bellman function

KW - Sawyer test

KW - Two-weight estimate

UR - http://www.scopus.com/inward/record.url?scp=85009772415&partnerID=8YFLogxK

U2 - 10.1090/S1061-0022-07-00953-3

DO - 10.1090/S1061-0022-07-00953-3

M3 - Article

AN - SCOPUS:85009772415

VL - 18

SP - 201

EP - 222

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

IS - 2

ER -

ID: 49879745