Boundedness of Fractional Oscillatory Integral Operators and Their Commutators in Vanishing Generalized Weighted Morrey Spaces
In this article, we give the boundedness conditions in terms of Zygmund-type integral inequalities for oscillatory integral operators and fractional oscillatory integral operators on the vanishing generalized weighted Morrey spaces. Moreover, we investigate corresponding commutators.
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2017-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2017/3295376 |
| id |
doaj-4e527b8eee2b445d86b98b622505db18 |
|---|---|
| record_format |
Article |
| spelling |
doaj-4e527b8eee2b445d86b98b622505db182020-11-24T22:15:08ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882017-01-01201710.1155/2017/32953763295376Boundedness of Fractional Oscillatory Integral Operators and Their Commutators in Vanishing Generalized Weighted Morrey SpacesBilal Çekiç0Ayşegül Çelik Alabalık1Department of Mathematics, Faculty of Science, Dicle University, 21280 Diyarbakir, TurkeyDepartment of Mathematics, Institute of Natural and Applied Sciences, Dicle University, 21280 Diyarbakir, TurkeyIn this article, we give the boundedness conditions in terms of Zygmund-type integral inequalities for oscillatory integral operators and fractional oscillatory integral operators on the vanishing generalized weighted Morrey spaces. Moreover, we investigate corresponding commutators.http://dx.doi.org/10.1155/2017/3295376 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Bilal Çekiç Ayşegül Çelik Alabalık |
| spellingShingle |
Bilal Çekiç Ayşegül Çelik Alabalık Boundedness of Fractional Oscillatory Integral Operators and Their Commutators in Vanishing Generalized Weighted Morrey Spaces Journal of Function Spaces |
| author_facet |
Bilal Çekiç Ayşegül Çelik Alabalık |
| author_sort |
Bilal Çekiç |
| title |
Boundedness of Fractional Oscillatory Integral Operators and Their Commutators in Vanishing Generalized Weighted Morrey Spaces |
| title_short |
Boundedness of Fractional Oscillatory Integral Operators and Their Commutators in Vanishing Generalized Weighted Morrey Spaces |
| title_full |
Boundedness of Fractional Oscillatory Integral Operators and Their Commutators in Vanishing Generalized Weighted Morrey Spaces |
| title_fullStr |
Boundedness of Fractional Oscillatory Integral Operators and Their Commutators in Vanishing Generalized Weighted Morrey Spaces |
| title_full_unstemmed |
Boundedness of Fractional Oscillatory Integral Operators and Their Commutators in Vanishing Generalized Weighted Morrey Spaces |
| title_sort |
boundedness of fractional oscillatory integral operators and their commutators in vanishing generalized weighted morrey spaces |
| publisher |
Hindawi Limited |
| series |
Journal of Function Spaces |
| issn |
2314-8896 2314-8888 |
| publishDate |
2017-01-01 |
| description |
In this article, we give the boundedness conditions in terms of Zygmund-type integral inequalities for oscillatory integral operators and fractional oscillatory integral operators on the vanishing generalized weighted Morrey spaces. Moreover, we investigate corresponding commutators. |
| url |
http://dx.doi.org/10.1155/2017/3295376 |
| work_keys_str_mv |
AT bilalcekic boundednessoffractionaloscillatoryintegraloperatorsandtheircommutatorsinvanishinggeneralizedweightedmorreyspaces AT aysegulcelikalabalık boundednessoffractionaloscillatoryintegraloperatorsandtheircommutatorsinvanishinggeneralizedweightedmorreyspaces |
| _version_ |
1725795959788535808 |