A characterization for $B$-singular integral operator and its commutators on generalized weighted $B$-Morrey spaces
We study the maximal operator $M_{\gamma}$ and the singular integral operator $A_{\gamma}$, associated with the generalized shift operator. The generalized shift operators are associated with the Laplace-Bessel differential operator. Our analysis is based on two weighted inequalities for the maximal...
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| Format: | Article |
| Language: | English |
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Vasyl Stefanyk Precarpathian National University
2023-06-01
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| Series: | Karpatsʹkì Matematičnì Publìkacìï |
| Subjects: | |
| Online Access: | https://journals.pnu.edu.ua/index.php/cmp/article/view/5767 |
| _version_ | 1797205780916600832 |
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| author | J.J. Hasanov I. Ekincioglu C. Keskin |
| author_facet | J.J. Hasanov I. Ekincioglu C. Keskin |
| author_sort | J.J. Hasanov |
| collection | DOAJ |
| description | We study the maximal operator $M_{\gamma}$ and the singular integral operator $A_{\gamma}$, associated with the generalized shift operator. The generalized shift operators are associated with the Laplace-Bessel differential operator. Our analysis is based on two weighted inequalities for the maximal operator, singular integral operators, and their commutators, related to the Laplace-Bessel differential operator in generalized weighted $B$-Morrey spaces. |
| first_indexed | 2024-04-24T08:56:34Z |
| format | Article |
| id | doaj.art-248f30c1e393434db7cb1483566dac10 |
| institution | Directory Open Access Journal |
| issn | 2075-9827 2313-0210 |
| language | English |
| last_indexed | 2024-04-24T08:56:34Z |
| publishDate | 2023-06-01 |
| publisher | Vasyl Stefanyk Precarpathian National University |
| record_format | Article |
| series | Karpatsʹkì Matematičnì Publìkacìï |
| spelling | doaj.art-248f30c1e393434db7cb1483566dac102024-04-16T07:13:58ZengVasyl Stefanyk Precarpathian National UniversityKarpatsʹkì Matematičnì Publìkacìï2075-98272313-02102023-06-0115119621110.15330/cmp.15.1.196-2114988A characterization for $B$-singular integral operator and its commutators on generalized weighted $B$-Morrey spacesJ.J. Hasanov0I. Ekincioglu1C. Keskin2Azerbaijan State Oil and Industry University, Baku, AzerbaijanIstanbul Medeniyet University, Istanbul, TurkeyIstanbul Medeniyet University, Istanbul, TurkeyWe study the maximal operator $M_{\gamma}$ and the singular integral operator $A_{\gamma}$, associated with the generalized shift operator. The generalized shift operators are associated with the Laplace-Bessel differential operator. Our analysis is based on two weighted inequalities for the maximal operator, singular integral operators, and their commutators, related to the Laplace-Bessel differential operator in generalized weighted $B$-Morrey spaces.https://journals.pnu.edu.ua/index.php/cmp/article/view/5767$b$-maximal operator$b$-singular integral operatorcommutatorgeneralized weighted $b$-morrey space |
| spellingShingle | J.J. Hasanov I. Ekincioglu C. Keskin A characterization for $B$-singular integral operator and its commutators on generalized weighted $B$-Morrey spaces Karpatsʹkì Matematičnì Publìkacìï $b$-maximal operator $b$-singular integral operator commutator generalized weighted $b$-morrey space |
| title | A characterization for $B$-singular integral operator and its commutators on generalized weighted $B$-Morrey spaces |
| title_full | A characterization for $B$-singular integral operator and its commutators on generalized weighted $B$-Morrey spaces |
| title_fullStr | A characterization for $B$-singular integral operator and its commutators on generalized weighted $B$-Morrey spaces |
| title_full_unstemmed | A characterization for $B$-singular integral operator and its commutators on generalized weighted $B$-Morrey spaces |
| title_short | A characterization for $B$-singular integral operator and its commutators on generalized weighted $B$-Morrey spaces |
| title_sort | characterization for b singular integral operator and its commutators on generalized weighted b morrey spaces |
| topic | $b$-maximal operator $b$-singular integral operator commutator generalized weighted $b$-morrey space |
| url | https://journals.pnu.edu.ua/index.php/cmp/article/view/5767 |
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