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This thesis discusses the boundedness of fractional integral operators on homogeneous <br /> <br /> <br /> <br /> <br /> and nonhomogeneous Lebesgue spaces, Morrey spaces and Generalized Morrey spaces. <br /> <br /> <br /> <br /> <...
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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/18839 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | This thesis discusses the boundedness of fractional integral operators on homogeneous <br />
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and nonhomogeneous Lebesgue spaces, Morrey spaces and Generalized Morrey spaces. <br />
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Especially, we will prove the boundedness of generalized fractional integral operators on <br />
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non homogeneous Morey spaces. The proof of the boundedness of generalized fractional <br />
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integral operators on the non homogeneous Morey spaces uses the property of maximal <br />
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operators defined on this space and the Hedberg inequality. The result is an extension of <br />
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Hardy- Littlewood-Sobolev inequality [11,21]. |
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