INCLUSION IN THE BOURGAIN-MORREY SPACE AND ITS GENERALIZATION
This research explores inclusion in several variants of Bourgain-Morrey space, namely Bourgain-Morrey space, mixed Bourgain-Morrey space, and weak Bourgain-Morrey space. The Bourgain-Morrey space is a generalization of the classical Morrey space that is widely used in harmonic analysis and functi...
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| Main Author: | |
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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/84000 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | This research explores inclusion in several variants of Bourgain-Morrey
space, namely Bourgain-Morrey space, mixed Bourgain-Morrey space, and weak
Bourgain-Morrey space. The Bourgain-Morrey space is a generalization of the
classical Morrey space that is widely used in harmonic analysis and function
theory. First, the properties and inclusions in the Bourgain-Morrey space are
discussed again. Apart from that, the conditions for a Bourgain-Morrey space to
have non-trivial elements are also discussed. Next, adapting a definition of mixed
Morrey spaces, the definition of mixed Bourgain-Morrey spaces is introduced and
its inclusion properties are investigated. Finally, adapting the definition of a weak
Morrey space, the definition of a weak Bourgain-Morrey space is also introduced
and its inclusion properties are examined. . |
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