On Cauchy–Pompeiu’s Operator in Octant Ring
In this study, we have determined Cauchy–Pompeiu representation formula in octant unit ring R4 by modulation the main Cauchy–Pompeiu representation; this modulation was obtained by applying the parqueting-reflection method. Moreover, the boundedness of the modulated Cauchy–Pompeiu’s operator in R4 i...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/1816883 |
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| _version_ | 1832568145665064960 |
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| author | Hasan Baddour Anas Kar |
| author_facet | Hasan Baddour Anas Kar |
| author_sort | Hasan Baddour |
| collection | DOAJ |
| description | In this study, we have determined Cauchy–Pompeiu representation formula in octant unit ring R4 by modulation the main Cauchy–Pompeiu representation; this modulation was obtained by applying the parqueting-reflection method. Moreover, the boundedness of the modulated Cauchy–Pompeiu’s operator in R4 is proved by applying Schmitz’s inequality. |
| format | Article |
| id | doaj-art-5c862a7081d449f3bd94384bda4f7ca3 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-5c862a7081d449f3bd94384bda4f7ca32025-02-03T00:59:38ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/1816883On Cauchy–Pompeiu’s Operator in Octant RingHasan Baddour0Anas Kar1Department of MathematicsDepartment of MathematicsIn this study, we have determined Cauchy–Pompeiu representation formula in octant unit ring R4 by modulation the main Cauchy–Pompeiu representation; this modulation was obtained by applying the parqueting-reflection method. Moreover, the boundedness of the modulated Cauchy–Pompeiu’s operator in R4 is proved by applying Schmitz’s inequality.http://dx.doi.org/10.1155/2022/1816883 |
| spellingShingle | Hasan Baddour Anas Kar On Cauchy–Pompeiu’s Operator in Octant Ring Journal of Mathematics |
| title | On Cauchy–Pompeiu’s Operator in Octant Ring |
| title_full | On Cauchy–Pompeiu’s Operator in Octant Ring |
| title_fullStr | On Cauchy–Pompeiu’s Operator in Octant Ring |
| title_full_unstemmed | On Cauchy–Pompeiu’s Operator in Octant Ring |
| title_short | On Cauchy–Pompeiu’s Operator in Octant Ring |
| title_sort | on cauchy pompeiu s operator in octant ring |
| url | http://dx.doi.org/10.1155/2022/1816883 |
| work_keys_str_mv | AT hasanbaddour oncauchypompeiusoperatorinoctantring AT anaskar oncauchypompeiusoperatorinoctantring |