Analogue Sochocky formulae for integral operators with additional logarithmic singularity
In this paper we prove the limit formulas for singular integrals of the form. Limit values of such integrals are expressed in terms of singular integral operators and also integral operators. As an application of these formulas derived additive representation for singular integrals. The formulas are...
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| Format: | Article |
| Language: | Belarusian |
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Belarusian State University
2018-01-01
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| Series: | Журнал Белорусского государственного университета: Математика, информатика |
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| Online Access: | https://journals.bsu.by/index.php/mathematics/article/view/752 |
| _version_ | 1818001635375316992 |
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| author | Vitold V. Kashevski |
| author_facet | Vitold V. Kashevski |
| author_sort | Vitold V. Kashevski |
| collection | DOAJ |
| description | In this paper we prove the limit formulas for singular integrals of the form. Limit values of such integrals are expressed in terms of singular integral operators and also integral operators. As an application of these formulas derived additive representation for singular integrals. The formulas are derived in the article can be used for research and operators singular integral equations solutions. |
| first_indexed | 2024-04-14T03:36:52Z |
| format | Article |
| id | doaj.art-9c29c80dc1a54e849016078031e2dd12 |
| institution | Directory Open Access Journal |
| issn | 2520-6508 2617-3956 |
| language | Belarusian |
| last_indexed | 2024-04-14T03:36:52Z |
| publishDate | 2018-01-01 |
| publisher | Belarusian State University |
| record_format | Article |
| series | Журнал Белорусского государственного университета: Математика, информатика |
| spelling | doaj.art-9c29c80dc1a54e849016078031e2dd122022-12-22T02:14:44ZbelBelarusian State UniversityЖурнал Белорусского государственного университета: Математика, информатика2520-65082617-39562018-01-013410752Analogue Sochocky formulae for integral operators with additional logarithmic singularityVitold V. Kashevski0Belarusian State University, Niezaliežnasci Avenue, 4, 220030, Minsk, BelarusIn this paper we prove the limit formulas for singular integrals of the form. Limit values of such integrals are expressed in terms of singular integral operators and also integral operators. As an application of these formulas derived additive representation for singular integrals. The formulas are derived in the article can be used for research and operators singular integral equations solutions.https://journals.bsu.by/index.php/mathematics/article/view/752integral operatorssingular integrals |
| spellingShingle | Vitold V. Kashevski Analogue Sochocky formulae for integral operators with additional logarithmic singularity Журнал Белорусского государственного университета: Математика, информатика integral operators singular integrals |
| title | Analogue Sochocky formulae for integral operators with additional logarithmic singularity |
| title_full | Analogue Sochocky formulae for integral operators with additional logarithmic singularity |
| title_fullStr | Analogue Sochocky formulae for integral operators with additional logarithmic singularity |
| title_full_unstemmed | Analogue Sochocky formulae for integral operators with additional logarithmic singularity |
| title_short | Analogue Sochocky formulae for integral operators with additional logarithmic singularity |
| title_sort | analogue sochocky formulae for integral operators with additional logarithmic singularity |
| topic | integral operators singular integrals |
| url | https://journals.bsu.by/index.php/mathematics/article/view/752 |
| work_keys_str_mv | AT vitoldvkashevski analoguesochockyformulaeforintegraloperatorswithadditionallogarithmicsingularity |