MULTIPLICATION OPERATORS IN MORREY SPACES AND WEAK MORREY SPACES
Multiplication operator is one of bounded linear operators. The membership of the multiplier in Morrey spaces with a different parameter yields a bounded multiplication operator in the spaces with a different parameter too. It is also the case in weak Morrey spaces. For multipliers in L1, we get a b...
Saved in:
| Main Author: | |
|---|---|
| Format: | Theses |
| Language: | Indonesia |
| Subjects: | |
| Online Access: | https://digilib.itb.ac.id/gdl/view/34817 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| id |
id-itb.:34817 |
|---|---|
| spelling |
id-itb.:348172019-02-15T10:21:18ZMULTIPLICATION OPERATORS IN MORREY SPACES AND WEAK MORREY SPACES Rukmana, Indra Matematika Indonesia Theses Multiplication Operators, Morrey Spaces, Weak Morrey Spaces, Holder’s Inequality, Young Inequality, Generalization Holder's Inequality. INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/34817 Multiplication operator is one of bounded linear operators. The membership of the multiplier in Morrey spaces with a different parameter yields a bounded multiplication operator in the spaces with a different parameter too. It is also the case in weak Morrey spaces. For multipliers in L1, we get a bounded multiplication operator on Mpq and wMpq. We use Holder’s inequality to determine the boundedness of multiplication operator from Mp t to M1q and from Mp1 q1 to Mpq . We use Young inequality to determine the boundedness of multiplication operator from wMp t to wM1q and from wMp1 q1 to wMpq. A generalized Holder’s inequality on Morrey spaces and weak Morrey spaces is also presented. text |
| institution |
Institut Teknologi Bandung |
| building |
Institut Teknologi Bandung Library |
| continent |
Asia |
| country |
Indonesia Indonesia |
| content_provider |
Institut Teknologi Bandung |
| collection |
Digital ITB |
| language |
Indonesia |
| topic |
Matematika |
| spellingShingle |
Matematika Rukmana, Indra MULTIPLICATION OPERATORS IN MORREY SPACES AND WEAK MORREY SPACES |
| description |
Multiplication operator is one of bounded linear operators. The membership of the multiplier in Morrey spaces with a different parameter yields a bounded multiplication operator in the spaces with a different parameter too. It is also the case in weak Morrey spaces. For multipliers in L1, we get a bounded multiplication
operator on Mpq and wMpq. We use Holder’s inequality to determine the boundedness of multiplication operator from Mp t to M1q and from Mp1 q1 to Mpq . We use Young inequality to determine the boundedness of multiplication operator from wMp t to wM1q and from wMp1 q1 to wMpq. A generalized Holder’s inequality on Morrey spaces and weak Morrey spaces is also presented. |
| format |
Theses |
| author |
Rukmana, Indra |
| author_facet |
Rukmana, Indra |
| author_sort |
Rukmana, Indra |
| title |
MULTIPLICATION OPERATORS IN MORREY SPACES AND WEAK MORREY SPACES |
| title_short |
MULTIPLICATION OPERATORS IN MORREY SPACES AND WEAK MORREY SPACES |
| title_full |
MULTIPLICATION OPERATORS IN MORREY SPACES AND WEAK MORREY SPACES |
| title_fullStr |
MULTIPLICATION OPERATORS IN MORREY SPACES AND WEAK MORREY SPACES |
| title_full_unstemmed |
MULTIPLICATION OPERATORS IN MORREY SPACES AND WEAK MORREY SPACES |
| title_sort |
multiplication operators in morrey spaces and weak morrey spaces |
| url |
https://digilib.itb.ac.id/gdl/view/34817 |
| _version_ |
1822924307276234752 |