BOUNDEDNESS OF INTEGRAL OPERATORS ON MORREY SPACES
This thesis studies about the boundedness of some integral operators on Morrey spaces, where the Morrey space M_q^p (R^n ) is defined as the set of all measurable functions f that satisfy <br /> ‖f‖_(M_q^p )=sup┬(a∈R^n,r>0)⁡〖|B(a,...
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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/24929 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | This thesis studies about the boundedness of some integral operators on Morrey spaces, where the Morrey space M_q^p (R^n ) is defined as the set of all measurable functions f that satisfy <br />
‖f‖_(M_q^p )=sup┬(a∈R^n,r>0)⁡〖|B(a,r)|^(1/q-1/p) 〗 [∫_B(a,r)▒〖|f(y)|^p dy〗]^(1/p)<∞. <br />
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Some operators whose boundedness on Morrey spaces M_q^p (R^n ) are studied are Hardy-Littlewood maximal function M, fractional integral operators I_α, and fractional maximal functions M_α. We also study about the relationship between the norm of fractional integral operators I_α and the norm of fractional maximal operators M_α on Lebesgue spaces and Morrey spaces. <br />
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