Perturbation of singular integral operators with piecewise continuous coefficients
In the paper it is shown that the property of singular integral operators with piecewise continuous coefficients to be Noetherian is stable with respect to their perturbation with certain non-compact operators. An example is constructed showing that the corner points of the integration contour sign...
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| Format: | Article |
| Language: | English |
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"Ion Creanga" State Pedagogical University
2024-01-01
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| Series: | Acta et Commentationes: Ştiinţe Exacte şi ale Naturii |
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| Online Access: | https://revistaust.upsc.md/index.php/acta_exacte/article/view/957 |
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| _version_ | 1846113279880986624 |
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| author | Vasile Neagu Diana Bîclea |
| author_facet | Vasile Neagu Diana Bîclea |
| author_sort | Vasile Neagu |
| collection | DOAJ |
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In the paper it is shown that the property of singular integral operators with piecewise continuous coefficients to be Noetherian is stable with respect to their perturbation with certain non-compact operators. An example is constructed showing that the corner points of the integration contour significantly affect the Noetherian property of singular operators with translations. These results are obtained using the symbol of the singular operators on contours with corner points, symbol, which is also determined.
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| format | Article |
| id | doaj-art-4d0c9716f133462da1906d2263cafaa6 |
| institution | Kabale University |
| issn | 2537-6284 2587-3644 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | "Ion Creanga" State Pedagogical University |
| record_format | Article |
| series | Acta et Commentationes: Ştiinţe Exacte şi ale Naturii |
| spelling | doaj-art-4d0c9716f133462da1906d2263cafaa62024-12-21T20:21:16Zeng"Ion Creanga" State Pedagogical UniversityActa et Commentationes: Ştiinţe Exacte şi ale Naturii2537-62842587-36442024-01-0116210.36120/2587-3644.v16i2.35-50Perturbation of singular integral operators with piecewise continuous coefficientsVasile Neagu0Diana Bîclea1"Ion Creangă" State Pedagogical University, 5 Gh. Iablocikin st., Chișinău, Republic of Moldova"Lucian Blaga" University from Sibiu, Romania In the paper it is shown that the property of singular integral operators with piecewise continuous coefficients to be Noetherian is stable with respect to their perturbation with certain non-compact operators. An example is constructed showing that the corner points of the integration contour significantly affect the Noetherian property of singular operators with translations. These results are obtained using the symbol of the singular operators on contours with corner points, symbol, which is also determined. https://revistaust.upsc.md/index.php/acta_exacte/article/view/957singular integral operatorsNoetherian operatorssymbolpiecewise Lyapunov contour |
| spellingShingle | Vasile Neagu Diana Bîclea Perturbation of singular integral operators with piecewise continuous coefficients Acta et Commentationes: Ştiinţe Exacte şi ale Naturii singular integral operators Noetherian operators symbol piecewise Lyapunov contour |
| title | Perturbation of singular integral operators with piecewise continuous coefficients |
| title_full | Perturbation of singular integral operators with piecewise continuous coefficients |
| title_fullStr | Perturbation of singular integral operators with piecewise continuous coefficients |
| title_full_unstemmed | Perturbation of singular integral operators with piecewise continuous coefficients |
| title_short | Perturbation of singular integral operators with piecewise continuous coefficients |
| title_sort | perturbation of singular integral operators with piecewise continuous coefficients |
| topic | singular integral operators Noetherian operators symbol piecewise Lyapunov contour |
| url | https://revistaust.upsc.md/index.php/acta_exacte/article/view/957 |
| work_keys_str_mv | AT vasileneagu perturbationofsingularintegraloperatorswithpiecewisecontinuouscoefficients AT dianabiclea perturbationofsingularintegraloperatorswithpiecewisecontinuouscoefficients |