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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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/26620 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | 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. |
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