Some New Iterated Hardy-Type Inequalities
We characterize the validity of the Hardy-type inequality ∥∥∫s∞h(z)dz ∥p,u,(0,t) ∥q,w,(0, ∞)≤c ∥h∥θ,v(0,∞), where 0<p<∞, 0<q≤∞, 1<θ≤∞, u, w, and v are weight functions on (0,∞). Some fairly new discretizing and antidiscretizing techniques of independent interest are used....
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2012/734194 |
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| _version_ | 1841524400819535872 |
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| author | A. Gogatishvili R. CH. Mustafayev L.-E. Persson |
| author_facet | A. Gogatishvili R. CH. Mustafayev L.-E. Persson |
| author_sort | A. Gogatishvili |
| collection | DOAJ |
| description | We characterize the validity of the Hardy-type inequality ∥∥∫s∞h(z)dz ∥p,u,(0,t) ∥q,w,(0, ∞)≤c ∥h∥θ,v(0,∞), where 0<p<∞, 0<q≤∞, 1<θ≤∞, u, w, and v are weight functions on (0,∞). Some fairly new discretizing and antidiscretizing techniques of independent interest are used. |
| format | Article |
| id | doaj-art-8e01d95a4e324d82bb599f62b5d92e26 |
| institution | Kabale University |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-8e01d95a4e324d82bb599f62b5d92e262025-02-03T05:53:23ZengWileyJournal of Function Spaces and Applications0972-68021758-49652012-01-01201210.1155/2012/734194734194Some New Iterated Hardy-Type InequalitiesA. Gogatishvili0R. CH. Mustafayev1L.-E. Persson2Institute of Mathematics, Academy of Sciences of Czech Republic, Zitna 25, 115 67 Prague 1, Czech RepublicInstitute of Mathematics and Mechanics, Academy of Sciences of Azerbaijan, F. Agayev Street 9, 1141 Baku, AzerbaijanDepartment of Mathematics, Luleå University of Technology, 971 87 Luleå, SwedenWe characterize the validity of the Hardy-type inequality ∥∥∫s∞h(z)dz ∥p,u,(0,t) ∥q,w,(0, ∞)≤c ∥h∥θ,v(0,∞), where 0<p<∞, 0<q≤∞, 1<θ≤∞, u, w, and v are weight functions on (0,∞). Some fairly new discretizing and antidiscretizing techniques of independent interest are used.http://dx.doi.org/10.1155/2012/734194 |
| spellingShingle | A. Gogatishvili R. CH. Mustafayev L.-E. Persson Some New Iterated Hardy-Type Inequalities Journal of Function Spaces and Applications |
| title | Some New Iterated Hardy-Type Inequalities |
| title_full | Some New Iterated Hardy-Type Inequalities |
| title_fullStr | Some New Iterated Hardy-Type Inequalities |
| title_full_unstemmed | Some New Iterated Hardy-Type Inequalities |
| title_short | Some New Iterated Hardy-Type Inequalities |
| title_sort | some new iterated hardy type inequalities |
| url | http://dx.doi.org/10.1155/2012/734194 |
| work_keys_str_mv | AT agogatishvili somenewiteratedhardytypeinequalities AT rchmustafayev somenewiteratedhardytypeinequalities AT lepersson somenewiteratedhardytypeinequalities |