A trace inequality for generalized potentials in Lebesgue spaces with variable exponent
A trace inequality for the generalized Riesz potentials Iα(x) is established in spaces Lp(x) defined on spaces of homogeneous type. The results are new even in the case of Euclidean spaces. As a corollary a criterion for a two-weighted inequality in classical Lebesgue spaces for potentials Iα(x) def...
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| Format: | Article |
| Language: | English |
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Wiley
2004-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2004/502312 |
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| _version_ | 1849403133621436416 |
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| author | David E. Edmunds Vakhtang Kokilashvili Alexander Meskhi |
| author_facet | David E. Edmunds Vakhtang Kokilashvili Alexander Meskhi |
| author_sort | David E. Edmunds |
| collection | DOAJ |
| description | A trace inequality for the generalized Riesz potentials Iα(x) is established in spaces Lp(x) defined on spaces of homogeneous type. The results are new even in the case of Euclidean spaces. As a corollary a criterion for a two-weighted inequality in classical Lebesgue spaces for potentials Iα(x) defined on fractal sets is derived. |
| format | Article |
| id | doaj-art-939394bc13334b8fb88ade754b741014 |
| institution | Kabale University |
| issn | 0972-6802 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-939394bc13334b8fb88ade754b7410142025-08-20T03:37:20ZengWileyJournal of Function Spaces and Applications0972-68022004-01-0121556910.1155/2004/502312A trace inequality for generalized potentials in Lebesgue spaces with variable exponentDavid E. Edmunds0Vakhtang Kokilashvili1Alexander Meskhi2University of Sussex, Centre for Math. Anal. & Appl., Brighton BN1 9QH, Sussex, UKA. Razmadze Mathematical Institute, Georgian Academy of Sciences, 1, M. Aleksidze St, 380093 Tbilisi, GeorgiaA. Razmadze Mathematical Institute, Georgian Academy of Sciences, 1, M. Aleksidze St, 380093 Tbilisi, GeorgiaA trace inequality for the generalized Riesz potentials Iα(x) is established in spaces Lp(x) defined on spaces of homogeneous type. The results are new even in the case of Euclidean spaces. As a corollary a criterion for a two-weighted inequality in classical Lebesgue spaces for potentials Iα(x) defined on fractal sets is derived.http://dx.doi.org/10.1155/2004/502312 |
| spellingShingle | David E. Edmunds Vakhtang Kokilashvili Alexander Meskhi A trace inequality for generalized potentials in Lebesgue spaces with variable exponent Journal of Function Spaces and Applications |
| title | A trace inequality for generalized potentials in Lebesgue spaces with variable exponent |
| title_full | A trace inequality for generalized potentials in Lebesgue spaces with variable exponent |
| title_fullStr | A trace inequality for generalized potentials in Lebesgue spaces with variable exponent |
| title_full_unstemmed | A trace inequality for generalized potentials in Lebesgue spaces with variable exponent |
| title_short | A trace inequality for generalized potentials in Lebesgue spaces with variable exponent |
| title_sort | trace inequality for generalized potentials in lebesgue spaces with variable exponent |
| url | http://dx.doi.org/10.1155/2004/502312 |
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