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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id-itb.:650992022-06-20T15:18:18ZBOUNDEDNESS OF COMMUTATORS OF FRACTIONAL INTEGRAL OPERATORS ON GENERALIZED MORREY SPACES Oktarini, Silvia Indonesia Theses classical Morrey spaces, Bounded Mean Oscillation, fractional integral, commutators. INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/65099 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 text |
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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 |
| format |
Theses |
| author |
Oktarini, Silvia |
| spellingShingle |
Oktarini, Silvia BOUNDEDNESS OF COMMUTATORS OF FRACTIONAL INTEGRAL OPERATORS ON GENERALIZED MORREY SPACES |
| author_facet |
Oktarini, Silvia |
| author_sort |
Oktarini, Silvia |
| title |
BOUNDEDNESS OF COMMUTATORS OF FRACTIONAL INTEGRAL OPERATORS ON GENERALIZED MORREY SPACES |
| title_short |
BOUNDEDNESS OF COMMUTATORS OF FRACTIONAL INTEGRAL OPERATORS ON GENERALIZED MORREY SPACES |
| title_full |
BOUNDEDNESS OF COMMUTATORS OF FRACTIONAL INTEGRAL OPERATORS ON GENERALIZED MORREY SPACES |
| title_fullStr |
BOUNDEDNESS OF COMMUTATORS OF FRACTIONAL INTEGRAL OPERATORS ON GENERALIZED MORREY SPACES |
| title_full_unstemmed |
BOUNDEDNESS OF COMMUTATORS OF FRACTIONAL INTEGRAL OPERATORS ON GENERALIZED MORREY SPACES |
| title_sort |
boundedness of commutators of fractional integral operators on generalized morrey spaces |
| url |
https://digilib.itb.ac.id/gdl/view/65099 |
| _version_ |
1822277215062065152 |