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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| Main Authors: | , |
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| Format: | Article |
| Language: | Russian |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 2687-1653 |