КФУ. Карточка публикации. Weighted Hardy Type Inequalities and Parametric Lamb Equation

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WEIGHTED HARDY TYPE INEQUALITIES AND PARAMETRIC LAMB EQUATION

Форма представления

Статьи в зарубежных журналах и сборниках

Год публикации

2020

Язык

английский

Авторы, сотрудники КФУ

Насибуллин Рамиль Гайсаевич, автор

Библиографическое описание на языке оригинала

Makarov R.V, Nasibullin R.G, Shaymardanova G.R., Weighted Hardy Type Inequalities and Parametric Lamb Equation//Lobachevskii Journal of Mathematics. - 2020. - Vol.41, Is.11. - P.2198-2210.

Аннотация

—This paper is devoted to weighted Hardy type inequalities. Using the Bessel functions, we prove one-dimensional inequalities and give some remarks on extensions of the one-dimensional inequalities to n-dimensional convex domains with finite inner radius. Constants in those inequalities depend on the roots of parametric Lamb equation for the Bessel function and turn out to be sharp in some particular cases. We establish the inequalities in Lp spaces, with p ∈ [1, ∞). Also new L2-inequality with sharp constants is obtained.

Ключевые слова

Keywords and phrases: Hardy inequality, Bessel function, Lamb constant, convex domain, distance to a boundary, inner radius.

Название журнала

Lobachevskii Journal of Mathematics

URL

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85098493333&doi=10.1134%2fS199508022011013X&partnerID=40&md5=0c98ac182ddc05399971289afe3b6b4b

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https://repository.kpfu.ru/?p_id=248034

Полная запись метаданных

Поле DC	Значение	Язык
dc.contributor.author	Насибуллин Рамиль Гайсаевич	ru_RU
dc.date.accessioned	2020-01-01T00:00:00Z	ru_RU
dc.date.available	2020-01-01T00:00:00Z	ru_RU
dc.date.issued	2020	ru_RU
dc.identifier.citation	Makarov R.V, Nasibullin R.G, Shaymardanova G.R., Weighted Hardy Type Inequalities and Parametric Lamb Equation//Lobachevskii Journal of Mathematics. - 2020. - Vol.41, Is.11. - P.2198-2210.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/?p_id=248034	ru_RU
dc.description.abstract	Lobachevskii Journal of Mathematics	ru_RU
dc.description.abstract	—This paper is devoted to weighted Hardy type inequalities. Using the Bessel functions, we prove one-dimensional inequalities and give some remarks on extensions of the one-dimensional inequalities to n-dimensional convex domains with finite inner radius. Constants in those inequalities depend on the roots of parametric Lamb equation for the Bessel function and turn out to be sharp in some particular cases. We establish the inequalities in Lp spaces, with p ∈ [1, ∞). Also new L2-inequality with sharp constants is obtained.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Keywords and phrases: Hardy inequality	ru_RU
dc.subject	Bessel function	ru_RU
dc.subject	Lamb constant	ru_RU
dc.subject	convex domain	ru_RU
dc.subject	distance to a boundary	ru_RU
dc.subject	inner radius.	ru_RU
dc.title	Weighted Hardy Type Inequalities and Parametric Lamb Equation	ru_RU
dc.type	Статьи в зарубежных журналах и сборниках	ru_RU