New equivalent conditions for Hardy-type inequalities
We consider a Hardy-type inequality with Oinarov's kernel in weighted Lebesgue spaces. We give new equivalent conditions for satisfying the inequality, and provide lower and upper estimates for its best constant. The findings are crucial in the study of oscillation and non-oscillation propertie...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Institute of Mathematics of the Czech Academy of Science
2024-04-01
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| Series: | Mathematica Bohemica |
| Subjects: | |
| Online Access: | https://mb.math.cas.cz/full/149/1/mb149_1_6.pdf |
| _version_ | 1797266208035176448 |
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| author | Alois Kufner Komil Kuliev Gulchehra Kulieva Mohlaroyim Eshimova |
| author_facet | Alois Kufner Komil Kuliev Gulchehra Kulieva Mohlaroyim Eshimova |
| author_sort | Alois Kufner |
| collection | DOAJ |
| description | We consider a Hardy-type inequality with Oinarov's kernel in weighted Lebesgue spaces. We give new equivalent conditions for satisfying the inequality, and provide lower and upper estimates for its best constant. The findings are crucial in the study of oscillation and non-oscillation properties of differential equation solutions, as well as spectral properties. |
| first_indexed | 2024-04-25T00:57:02Z |
| format | Article |
| id | doaj.art-4cdc2a150c9746019ecde138aa0ee697 |
| institution | Directory Open Access Journal |
| issn | 0862-7959 2464-7136 |
| language | English |
| last_indexed | 2024-04-25T00:57:02Z |
| publishDate | 2024-04-01 |
| publisher | Institute of Mathematics of the Czech Academy of Science |
| record_format | Article |
| series | Mathematica Bohemica |
| spelling | doaj.art-4cdc2a150c9746019ecde138aa0ee6972024-03-11T09:20:43ZengInstitute of Mathematics of the Czech Academy of ScienceMathematica Bohemica0862-79592464-71362024-04-011491577310.21136/MB.2023.0088-22MB.2023.0088-22New equivalent conditions for Hardy-type inequalitiesAlois KufnerKomil KulievGulchehra KulievaMohlaroyim EshimovaWe consider a Hardy-type inequality with Oinarov's kernel in weighted Lebesgue spaces. We give new equivalent conditions for satisfying the inequality, and provide lower and upper estimates for its best constant. The findings are crucial in the study of oscillation and non-oscillation properties of differential equation solutions, as well as spectral properties.https://mb.math.cas.cz/full/149/1/mb149_1_6.pdf integral operator norm weight function lebesgue space hardy-type inequality kernel |
| spellingShingle | Alois Kufner Komil Kuliev Gulchehra Kulieva Mohlaroyim Eshimova New equivalent conditions for Hardy-type inequalities Mathematica Bohemica integral operator norm weight function lebesgue space hardy-type inequality kernel |
| title | New equivalent conditions for Hardy-type inequalities |
| title_full | New equivalent conditions for Hardy-type inequalities |
| title_fullStr | New equivalent conditions for Hardy-type inequalities |
| title_full_unstemmed | New equivalent conditions for Hardy-type inequalities |
| title_short | New equivalent conditions for Hardy-type inequalities |
| title_sort | new equivalent conditions for hardy type inequalities |
| topic | integral operator norm weight function lebesgue space hardy-type inequality kernel |
| url | https://mb.math.cas.cz/full/149/1/mb149_1_6.pdf |
| work_keys_str_mv | AT aloiskufner newequivalentconditionsforhardytypeinequalities AT komilkuliev newequivalentconditionsforhardytypeinequalities AT gulchehrakulieva newequivalentconditionsforhardytypeinequalities AT mohlaroyimeshimova newequivalentconditionsforhardytypeinequalities |