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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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| Online Access: | https://digilib.itb.ac.id/gdl/view/18839 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
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id-itb.:188392017-09-27T14:41:48Z#TITLE_ALTERNATIVE# NURHAYATI ( NIM : 20111031 )PEMBIMBING : Prof. Dr. Hendra Gunawan, LINA Indonesia Theses INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/18839 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 /> <br /> Especially, we will prove the boundedness of generalized fractional integral operators on <br /> <br /> <br /> <br /> <br /> non homogeneous Morey spaces. The proof of the boundedness of generalized fractional <br /> <br /> <br /> <br /> <br /> integral operators on the non homogeneous Morey spaces uses the property of maximal <br /> <br /> <br /> <br /> <br /> operators defined on this space and the Hedberg inequality. The result is an extension of <br /> <br /> <br /> <br /> <br /> Hardy- Littlewood-Sobolev inequality [11,21]. text |
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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 />
<br />
Especially, we will prove the boundedness of generalized fractional integral operators on <br />
<br />
<br />
<br />
<br />
non homogeneous Morey spaces. The proof of the boundedness of generalized fractional <br />
<br />
<br />
<br />
<br />
integral operators on the non homogeneous Morey spaces uses the property of maximal <br />
<br />
<br />
<br />
<br />
operators defined on this space and the Hedberg inequality. The result is an extension of <br />
<br />
<br />
<br />
<br />
Hardy- Littlewood-Sobolev inequality [11,21]. |
| format |
Theses |
| author |
NURHAYATI ( NIM : 20111031 )PEMBIMBING : Prof. Dr. Hendra Gunawan, LINA |
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NURHAYATI ( NIM : 20111031 )PEMBIMBING : Prof. Dr. Hendra Gunawan, LINA #TITLE_ALTERNATIVE# |
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NURHAYATI ( NIM : 20111031 )PEMBIMBING : Prof. Dr. Hendra Gunawan, LINA |
| author_sort |
NURHAYATI ( NIM : 20111031 )PEMBIMBING : Prof. Dr. Hendra Gunawan, LINA |
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| url |
https://digilib.itb.ac.id/gdl/view/18839 |
| _version_ |
1821119654427361280 |