| Form of presentation | Articles in international journals and collections |
| Year of publication | 2020 |
| Язык | английский |
|
Nasibullin Ramil Gaysaevich, author
|
| Bibliographic description in the original language |
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. |
| Annotation |
—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. |
| Keywords |
Keywords and phrases: Hardy inequality, Bessel function, Lamb constant, convex domain, distance to a boundary, inner radius. |
| The name of the journal |
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 |
| Please use this ID to quote from or refer to the card |
https://repository.kpfu.ru/eng/?p_id=248034&p_lang=2 |
Full metadata record  |
| Field DC |
Value |
Language |
| dc.contributor.author |
Nasibullin Ramil Gaysaevich |
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/eng/?p_id=248034&p_lang=2 |
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 |
Articles in international journals and collections |
ru_RU |
|
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