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.
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2017/3295376 |
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| _version_ | 1850106620169682944 |
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| author | Bilal Çekiç Ayşegül Çelik Alabalık |
| author_facet | Bilal Çekiç Ayşegül Çelik Alabalık |
| author_sort | Bilal Çekiç |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-4e527b8eee2b445d86b98b622505db18 |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-4e527b8eee2b445d86b98b622505db182025-08-20T02:38:47ZengWileyJournal 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2017/3295376 |
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