FRACTIONAL INTEGRAL OPERATOR ON SMALL MORREY SPACES
Small Morrey space is obtained by choosing specific (t) function on generalized Morrey space Mp (Rn). This thesis will discuss about boundedness of fractional integral operator I on small Morrey spaces mp q (Rn). However, based on Sawano [15], there is another example of (t) function related t...
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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/59596 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | Small Morrey space is obtained by choosing specific (t) function on generalized
Morrey space Mp
(Rn). This thesis will discuss about boundedness of fractional
integral operator I on small Morrey spaces mp
q (Rn). However, based on Sawano
[15], there is another example of (t) function related to small Morrey space
that need to be verified. After that, the boundedness of Hardy-Littlewood maximal
operator on small Morrey space will be shown. Furthermore, by examining
several assumptions of (t) function on boundedness of I in [3] as well as necessary
and sufficient condition on boundedness of generalized fractional integral I
onMp
(Rn) in [2], it will be shown that I is unbounded from m1
p (Rn) to m1
q (Rn). |
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