ON INTEGRAL OPERATORS WITH FIBER SINGULAR TYPE HOMOGENEOUS KERNELS IN THE SPACE LP(R2).
A new class of integral operators with fiber singular type homogeneous kernels in the space Lp(R2) is introduced. This new class includes the class of operators with SO(2)-invariant homogeneous kernels. For Banach algebra of pair operators with fiber singular type homogeneous kernels the symbol calc...
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| Format: | Article |
| Language: | Russian |
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Don State Technical University
2007-06-01
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| Series: | Advanced Engineering Research |
| Online Access: | https://www.vestnik-donstu.ru/jour/article/view/1285 |
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| _version_ | 1849250073285754880 |
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| author | V.М. DEUNDYAK H.A. STEPANUCHENKO |
| author_facet | V.М. DEUNDYAK H.A. STEPANUCHENKO |
| author_sort | V.М. DEUNDYAK |
| collection | DOAJ |
| description | A new class of integral operators with fiber singular type homogeneous kernels in the space Lp(R2) is introduced. This new class includes the class of operators with SO(2)-invariant homogeneous kernels. For Banach algebra of pair operators with fiber singular type homogeneous kernels the symbol calculus is constructed and the criterion of Fredholmness is obtained. |
| format | Article |
| id | doaj-art-2ebabe51802142a49e15d23e60e0bb10 |
| institution | Kabale University |
| issn | 2687-1653 |
| language | Russian |
| publishDate | 2007-06-01 |
| publisher | Don State Technical University |
| record_format | Article |
| series | Advanced Engineering Research |
| spelling | doaj-art-2ebabe51802142a49e15d23e60e0bb102025-08-20T03:57:22ZrusDon State Technical UniversityAdvanced Engineering Research2687-16532007-06-01721491601270ON INTEGRAL OPERATORS WITH FIBER SINGULAR TYPE HOMOGENEOUS KERNELS IN THE SPACE LP(R2).V.М. DEUNDYAK0H.A. STEPANUCHENKO1Don State Technical University.Don State Technical University.A new class of integral operators with fiber singular type homogeneous kernels in the space Lp(R2) is introduced. This new class includes the class of operators with SO(2)-invariant homogeneous kernels. For Banach algebra of pair operators with fiber singular type homogeneous kernels the symbol calculus is constructed and the criterion of Fredholmness is obtained.https://www.vestnik-donstu.ru/jour/article/view/1285 |
| spellingShingle | V.М. DEUNDYAK H.A. STEPANUCHENKO ON INTEGRAL OPERATORS WITH FIBER SINGULAR TYPE HOMOGENEOUS KERNELS IN THE SPACE LP(R2). Advanced Engineering Research |
| title | ON INTEGRAL OPERATORS WITH FIBER SINGULAR TYPE HOMOGENEOUS KERNELS IN THE SPACE LP(R2). |
| title_full | ON INTEGRAL OPERATORS WITH FIBER SINGULAR TYPE HOMOGENEOUS KERNELS IN THE SPACE LP(R2). |
| title_fullStr | ON INTEGRAL OPERATORS WITH FIBER SINGULAR TYPE HOMOGENEOUS KERNELS IN THE SPACE LP(R2). |
| title_full_unstemmed | ON INTEGRAL OPERATORS WITH FIBER SINGULAR TYPE HOMOGENEOUS KERNELS IN THE SPACE LP(R2). |
| title_short | ON INTEGRAL OPERATORS WITH FIBER SINGULAR TYPE HOMOGENEOUS KERNELS IN THE SPACE LP(R2). |
| title_sort | on integral operators with fiber singular type homogeneous kernels in the space lp r2 |
| url | https://www.vestnik-donstu.ru/jour/article/view/1285 |
| work_keys_str_mv | AT vmdeundyak onintegraloperatorswithfibersingulartypehomogeneouskernelsinthespacelpr2 AT hastepanuchenko onintegraloperatorswithfibersingulartypehomogeneouskernelsinthespacelpr2 |