BOUNDEDNESS OF COMMUTATORS OF FRACTIONAL INTEGRAL OPERATORS ON GENERALIZED MORREY SPACES
In this thesis, we will discuss about boundedness of commutators of fractional integral operators [b, I?] on generalized Morrey spaces Lp,?(Rn) where b is a bounded mean oscillation or BMO function with several assumptions that must be satisfied. However, we will first discuss the boundedness of...
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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/65099 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | In this thesis, we will discuss about boundedness of commutators of fractional integral
operators [b, I?] on generalized Morrey spaces Lp,?(Rn) where b is a bounded
mean oscillation or BMO function with several assumptions that must be satisfied.
However, we will first discuss the boundedness of the commutator operator [b, I?]
on the Lebesgue space contained in the Chanillo result [1]. In [1], there is restriction
of ? conditions must be satisfied, but based on the result of Shirai [14] showed
that the restriction can be removed. After that, we can prove that the commutator
operator [b, I?] is also bounded on generalized Morrey spaces |
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