On a Sobolev Type Theorem for the Generalized Riesz Potential Generated by the Generalized Shift Operator on Morrey Space
In this paper, we give a generalized definition of Morrey space for Lebesgue measure. In this space, the inequality of Hardy-Sobolev type is established for the generalized Riesz potentials generated by the generalized shift operator. 2000 Mathematics Subject Classification. 31B10, 44A15
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| Published in | Sarajevo journal of mathematics Vol. 4; no. 2; pp. 207 - 214 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
11.06.2024
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| Online Access | Get full text |
| ISSN | 1840-0655 2233-1964 |
| DOI | 10.5644/SJM.04.2.06 |
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| Summary: | In this paper, we give a generalized definition of Morrey space for Lebesgue measure. In this space, the inequality of Hardy-Sobolev type is established for the generalized Riesz potentials generated by the generalized shift operator.
2000 Mathematics Subject Classification. 31B10, 44A15 |
|---|---|
| ISSN: | 1840-0655 2233-1964 |
| DOI: | 10.5644/SJM.04.2.06 |