On boundedness and compactness of a certain class of kernel operators
New conditions for Lp[0,∞)-Lq[0,∞) boundedness and compactness (1<p, q<∞) of the map f→w(x)∫a(x)b(x)k(x,y)f(y)v(y)dy with locally integrable weight functions v,w and a positive continuous kernel k(x,y) from the Oinarov’s class are obtained.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2011/531683 |
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| _version_ | 1832564386589310976 |
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| author | Elena P. Ushakova |
| author_facet | Elena P. Ushakova |
| author_sort | Elena P. Ushakova |
| collection | DOAJ |
| description | New conditions for Lp[0,∞)-Lq[0,∞) boundedness and compactness (1<p, q<∞) of the map f→w(x)∫a(x)b(x)k(x,y)f(y)v(y)dy with locally integrable weight functions v,w and a positive continuous kernel k(x,y) from the Oinarov’s class are obtained. |
| format | Article |
| id | doaj-art-1833a9c9c7be478b862908b8a44744a9 |
| institution | Kabale University |
| issn | 0972-6802 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-1833a9c9c7be478b862908b8a44744a92025-02-03T01:11:07ZengWileyJournal of Function Spaces and Applications0972-68022011-01-01916710710.1155/2011/531683On boundedness and compactness of a certain class of kernel operatorsElena P. Ushakova0Computing Centre of Far Eastern Branch of Russian Academy of Sciences, 680000 Khabarovsk, RussiaNew conditions for Lp[0,∞)-Lq[0,∞) boundedness and compactness (1<p, q<∞) of the map f→w(x)∫a(x)b(x)k(x,y)f(y)v(y)dy with locally integrable weight functions v,w and a positive continuous kernel k(x,y) from the Oinarov’s class are obtained.http://dx.doi.org/10.1155/2011/531683 |
| spellingShingle | Elena P. Ushakova On boundedness and compactness of a certain class of kernel operators Journal of Function Spaces and Applications |
| title | On boundedness and compactness of a certain class of kernel operators |
| title_full | On boundedness and compactness of a certain class of kernel operators |
| title_fullStr | On boundedness and compactness of a certain class of kernel operators |
| title_full_unstemmed | On boundedness and compactness of a certain class of kernel operators |
| title_short | On boundedness and compactness of a certain class of kernel operators |
| title_sort | on boundedness and compactness of a certain class of kernel operators |
| url | http://dx.doi.org/10.1155/2011/531683 |
| work_keys_str_mv | AT elenapushakova onboundednessandcompactnessofacertainclassofkerneloperators |