INCLUSION AND INTERPOLATION OF MORREY SPACES WITH MIXED NORM
Inclusion properties of mixed Morrey spaces and iterated weak Morrey spaces are generalized from inclusion properties of Morrey spaces and weak Morrey spaces. Some proofs use the calculation of the mixed Morrey norm of characteristic functions of balls. Another result of this thesis is the Riesz-...
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| Main Author: | |
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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/68583 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | Inclusion properties of mixed Morrey spaces and iterated weak Morrey spaces
are generalized from inclusion properties of Morrey spaces and weak Morrey
spaces. Some proofs use the calculation of the mixed Morrey norm of characteristic
functions of balls. Another result of this thesis is the Riesz-Thorin interpolation on
mixed Morrey spaces. The proof of the interpolation is based on the Riesz-Thorin
interpolation on Morrey spaces and on mixed Lebesgue spaces. Finally, we give the
description of the Calder´on product on mixed Morrey spaces. This result can be
used to prove the boundedness of positive linear operators in mixed Morrey spaces. |
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