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Mutual estimates of L p-norms and the Bellman function. / Vasyunin, V. I.

в: Journal of Mathematical Sciences , Том 156, № 5, 01.02.2009, стр. 766-798.

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

Harvard

Vasyunin, VI 2009, 'Mutual estimates of L p-norms and the Bellman function', Journal of Mathematical Sciences , Том. 156, № 5, стр. 766-798. https://doi.org/10.1007/s10958-009-9288-3

APA

Vasyunin, V. I. (2009). Mutual estimates of L p-norms and the Bellman function. Journal of Mathematical Sciences , 156(5), 766-798. https://doi.org/10.1007/s10958-009-9288-3

Vancouver

Vasyunin VI. Mutual estimates of L p-norms and the Bellman function. Journal of Mathematical Sciences . 2009 Февр. 1;156(5):766-798. https://doi.org/10.1007/s10958-009-9288-3

Author

Vasyunin, V. I. / Mutual estimates of L p-norms and the Bellman function. в: Journal of Mathematical Sciences . 2009 ; Том 156, № 5. стр. 766-798.

BibTeX

@article{f979f54ecc514e8c9a58e7d57146f857,
title = "Mutual estimates of L p-norms and the Bellman function",
abstract = "In this paper, we describe the range of the Lp-norm of a function under fixed Lp-norms with two other different exponents p and under a natural multiplicative restriction of the type of the Muckenhoupt condition. Particular cases of such results are simple inequalities as the interpolation inequality between two Lp-norms as well as such nontrivial inequalities as the Gehring inequality or the reverse H{\"o}lder inequality for Mackenhoupt weights. The basic method of our paper is the search for the exact Bellman function of the corresponding extremal problem. Bibliography: 5",
author = "Vasyunin, {V. I.}",
year = "2009",
month = feb,
day = "1",
doi = "10.1007/s10958-009-9288-3",
language = "English",
volume = "156",
pages = "766--798",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "5",

}

RIS

TY - JOUR

T1 - Mutual estimates of L p-norms and the Bellman function

AU - Vasyunin, V. I.

PY - 2009/2/1

Y1 - 2009/2/1

N2 - In this paper, we describe the range of the Lp-norm of a function under fixed Lp-norms with two other different exponents p and under a natural multiplicative restriction of the type of the Muckenhoupt condition. Particular cases of such results are simple inequalities as the interpolation inequality between two Lp-norms as well as such nontrivial inequalities as the Gehring inequality or the reverse Hölder inequality for Mackenhoupt weights. The basic method of our paper is the search for the exact Bellman function of the corresponding extremal problem. Bibliography: 5

AB - In this paper, we describe the range of the Lp-norm of a function under fixed Lp-norms with two other different exponents p and under a natural multiplicative restriction of the type of the Muckenhoupt condition. Particular cases of such results are simple inequalities as the interpolation inequality between two Lp-norms as well as such nontrivial inequalities as the Gehring inequality or the reverse Hölder inequality for Mackenhoupt weights. The basic method of our paper is the search for the exact Bellman function of the corresponding extremal problem. Bibliography: 5

UR - http://www.scopus.com/inward/record.url?scp=65049084257&partnerID=8YFLogxK

U2 - 10.1007/s10958-009-9288-3

DO - 10.1007/s10958-009-9288-3

M3 - Article

AN - SCOPUS:65049084257

VL - 156

SP - 766

EP - 798

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 5

ER -

ID: 49879470