#TITLE_ALTERNATIVE#
In this thesis, we proved some necessary conditions for the boundedness of <br /> <br /> <br /> <br /> <br /> the generalized fractional integral operators I on Morrey spaces where the <br /> <br /> <br /> <br /> <br /> satisfi...
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| Main Author: | |
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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/17851 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | In this thesis, we proved some necessary conditions for the boundedness of <br />
<br />
<br />
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the generalized fractional integral operators I on Morrey spaces where the <br />
<br />
<br />
<br />
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satisfies the growth condition. The growth condition of the replaces the usual <br />
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doubling condition for the boundedness of the generalized fractional integral <br />
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operators on Morrey spaces. The proof uses an estimate for the norm of the <br />
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characteristic functions of balls and an inequality that involves modified of the <br />
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with the values of the generalized fractional integral of the characteristic <br />
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functions. |
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