Regularity in generalized Morrey spaces of solutions to higher order nondivergence elliptic equations with VMO coefficients
We study the boundedness of the sublinear integral operators generated by Calderón–Zygmund operator and their commutators with $\mathit{BMO}$ functions on generalized Morrey spaces. These obtained estimates are used to get regularity of the solution of Dirichlet problem for higher order linear ellip...
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| Format: | Article |
| Language: | English |
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University of Szeged
2019-08-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=7516 |
| _version_ | 1797830491881078784 |
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| author | Tahir Gadjiev Shahla Galandarova Vagif Guliyev |
| author_facet | Tahir Gadjiev Shahla Galandarova Vagif Guliyev |
| author_sort | Tahir Gadjiev |
| collection | DOAJ |
| description | We study the boundedness of the sublinear integral operators generated by Calderón–Zygmund operator and their commutators with $\mathit{BMO}$ functions on generalized Morrey spaces. These obtained estimates are used to get regularity of the solution of Dirichlet problem for higher order linear elliptic operators. |
| first_indexed | 2024-04-09T13:36:58Z |
| format | Article |
| id | doaj.art-1e2317d24b08401bbd2b2bb57cd61bce |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:36:58Z |
| publishDate | 2019-08-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-1e2317d24b08401bbd2b2bb57cd61bce2023-05-09T07:53:09ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752019-08-0120195511710.14232/ejqtde.2019.1.557516Regularity in generalized Morrey spaces of solutions to higher order nondivergence elliptic equations with VMO coefficientsTahir Gadjiev0Shahla Galandarova1Vagif Guliyev2Institute of Mathematics and Mechanics of Azerbaijan National Academy of Sciences, Baku, AzerbaijanInstitute of Mathematics and Mechanics of Azerbaijan National Academy of Sciences, Baku, AzerbaijanInstitute of Mathematics and Mechanics of Azerbaijan National Academy of Sciences, Baku, AzerbaijanWe study the boundedness of the sublinear integral operators generated by Calderón–Zygmund operator and their commutators with $\mathit{BMO}$ functions on generalized Morrey spaces. These obtained estimates are used to get regularity of the solution of Dirichlet problem for higher order linear elliptic operators.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=7516higher order elliptic equationsgeneralized morrey spacescalderón–zygmund integralscommutatorsvmo |
| spellingShingle | Tahir Gadjiev Shahla Galandarova Vagif Guliyev Regularity in generalized Morrey spaces of solutions to higher order nondivergence elliptic equations with VMO coefficients Electronic Journal of Qualitative Theory of Differential Equations higher order elliptic equations generalized morrey spaces calderón–zygmund integrals commutators vmo |
| title | Regularity in generalized Morrey spaces of solutions to higher order nondivergence elliptic equations with VMO coefficients |
| title_full | Regularity in generalized Morrey spaces of solutions to higher order nondivergence elliptic equations with VMO coefficients |
| title_fullStr | Regularity in generalized Morrey spaces of solutions to higher order nondivergence elliptic equations with VMO coefficients |
| title_full_unstemmed | Regularity in generalized Morrey spaces of solutions to higher order nondivergence elliptic equations with VMO coefficients |
| title_short | Regularity in generalized Morrey spaces of solutions to higher order nondivergence elliptic equations with VMO coefficients |
| title_sort | regularity in generalized morrey spaces of solutions to higher order nondivergence elliptic equations with vmo coefficients |
| topic | higher order elliptic equations generalized morrey spaces calderón–zygmund integrals commutators vmo |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=7516 |
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