BOUNDEDNESS OF MIKHLIN OPERATOR IN MORREY SPACE
A multiplier operator is an operator which maps a function to the product of that function with a certain function. A Fourier multiplier operator is a multiplier operator which uses Fourier transformation of a function. S.G. Mikhlin proved the boundedness of the operator in classical Lebesgue space...
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id-itb.:266202018-08-31T10:56:05ZBOUNDEDNESS OF MIKHLIN OPERATOR IN MORREY SPACE MAHARANI (NIM: 20116014), DIAN Indonesia Theses INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/26620 A multiplier operator is an operator which maps a function to the product of that function with a certain function. A Fourier multiplier operator is a multiplier operator which uses Fourier transformation of a function. S.G. Mikhlin proved the boundedness of the operator in classical Lebesgue space if the multiplier function (generator of the Fourier multiplier operator) is a bounded function. In this thesis, we prove that Fourier multiplier operator is also bounded on classical Morrey space under the same condition. text |
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Institut Teknologi Bandung |
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Indonesia Indonesia |
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Institut Teknologi Bandung |
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Indonesia |
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A multiplier operator is an operator which maps a function to the product of that function with a certain function. A Fourier multiplier operator is a multiplier operator which uses Fourier transformation of a function. S.G. Mikhlin proved the boundedness of the operator in classical Lebesgue space if the multiplier function (generator of the Fourier multiplier operator) is a bounded function. In this thesis, we prove that Fourier multiplier operator is also bounded on classical Morrey space under the same condition. |
| format |
Theses |
| author |
MAHARANI (NIM: 20116014), DIAN |
| spellingShingle |
MAHARANI (NIM: 20116014), DIAN BOUNDEDNESS OF MIKHLIN OPERATOR IN MORREY SPACE |
| author_facet |
MAHARANI (NIM: 20116014), DIAN |
| author_sort |
MAHARANI (NIM: 20116014), DIAN |
| title |
BOUNDEDNESS OF MIKHLIN OPERATOR IN MORREY SPACE |
| title_short |
BOUNDEDNESS OF MIKHLIN OPERATOR IN MORREY SPACE |
| title_full |
BOUNDEDNESS OF MIKHLIN OPERATOR IN MORREY SPACE |
| title_fullStr |
BOUNDEDNESS OF MIKHLIN OPERATOR IN MORREY SPACE |
| title_full_unstemmed |
BOUNDEDNESS OF MIKHLIN OPERATOR IN MORREY SPACE |
| title_sort |
boundedness of mikhlin operator in morrey space |
| url |
https://digilib.itb.ac.id/gdl/view/26620 |
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1822021066424320000 |