CALDERO´N-ZYGMUND OPERATOR ON GENERALIZED WEIGHTED MORREY SPACE
Morrey spaces were first introduced by C.B. Morrey in 1938 and can be considered as an extention of Lebesgue spaces. The researches on Morrey spaces are still carried out up to now. For example, the researchers studied the boundedness of classical operators on Morrey spaces. One of the operators...
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id-itb.:650942022-06-20T15:10:03ZCALDERO´N-ZYGMUND OPERATOR ON GENERALIZED WEIGHTED MORREY SPACE Ramadana, Yusuf Indonesia Theses Calder´on-Zygmund Operator, Ap Class, Generalized Weighted Morrey Space. INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/65094 Morrey spaces were first introduced by C.B. Morrey in 1938 and can be considered as an extention of Lebesgue spaces. The researches on Morrey spaces are still carried out up to now. For example, the researchers studied the boundedness of classical operators on Morrey spaces. One of the operators is Calder´on-Zygmund operator which was first introduced by Coifman and Meyer in 1978. The boundedness properties of the operator on certain function spaces such as Lebesgue spaces and (classical) Morrey spaces have been known. In this thesis, we give the definition of generalized weighted Morrey spaces, generalized weighted weak Morrey spaces. After that, we give the definition of Calder´on-Zygmund operators on those function spaces. Futhermore, certain assumptions that ensure the boundedness of Calder´on-Zygmund operators on the function spaces also shall be investigated. text |
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Morrey spaces were first introduced by C.B. Morrey in 1938 and can be considered
as an extention of Lebesgue spaces. The researches on Morrey spaces are still
carried out up to now. For example, the researchers studied the boundedness of
classical operators on Morrey spaces. One of the operators is Calder´on-Zygmund
operator which was first introduced by Coifman and Meyer in 1978. The boundedness
properties of the operator on certain function spaces such as Lebesgue spaces
and (classical) Morrey spaces have been known. In this thesis, we give the definition
of generalized weighted Morrey spaces, generalized weighted weak Morrey
spaces. After that, we give the definition of Calder´on-Zygmund operators on those
function spaces. Futhermore, certain assumptions that ensure the boundedness of
Calder´on-Zygmund operators on the function spaces also shall be investigated. |
| format |
Theses |
| author |
Ramadana, Yusuf |
| spellingShingle |
Ramadana, Yusuf CALDERO´N-ZYGMUND OPERATOR ON GENERALIZED WEIGHTED MORREY SPACE |
| author_facet |
Ramadana, Yusuf |
| author_sort |
Ramadana, Yusuf |
| title |
CALDERO´N-ZYGMUND OPERATOR ON GENERALIZED WEIGHTED MORREY SPACE |
| title_short |
CALDERO´N-ZYGMUND OPERATOR ON GENERALIZED WEIGHTED MORREY SPACE |
| title_full |
CALDERO´N-ZYGMUND OPERATOR ON GENERALIZED WEIGHTED MORREY SPACE |
| title_fullStr |
CALDERO´N-ZYGMUND OPERATOR ON GENERALIZED WEIGHTED MORREY SPACE |
| title_full_unstemmed |
CALDERO´N-ZYGMUND OPERATOR ON GENERALIZED WEIGHTED MORREY SPACE |
| title_sort |
calderoâ´n-zygmund operator on generalized weighted morrey space |
| url |
https://digilib.itb.ac.id/gdl/view/65094 |
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1822932633249644544 |