On Singular Integrals with Cauchy Kernel on Weight Subspaces: The Basicity Property of Sines and Cosines Systems in Weight Spaces
A singular operator with Cauchy kernel on the subspaces of weight Lebesgue space is considered. A sufficient condition for a bounded action of this operator from a subspace to another subspace of weight Lebesgue space of functions is found. These conditions are not identical with Muckenhoupt conditi...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2011/717501 |
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| _version_ | 1832563697661247488 |
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| author | Tofig Isa Najafov Saeed Farahani |
| author_facet | Tofig Isa Najafov Saeed Farahani |
| author_sort | Tofig Isa Najafov |
| collection | DOAJ |
| description | A singular operator with Cauchy kernel on the subspaces of weight Lebesgue space is
considered. A sufficient condition for a bounded action of this operator from a subspace
to another subspace of weight Lebesgue space of functions is found. These conditions are
not identical with Muckenhoupt conditions. Moreover, the completeness, minimality, and
basicity of sines and cosines systems are considered. |
| format | Article |
| id | doaj-art-38ee7b48011d4f7684e32445a657306f |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-38ee7b48011d4f7684e32445a657306f2025-02-03T01:12:50ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252011-01-01201110.1155/2011/717501717501On Singular Integrals with Cauchy Kernel on Weight Subspaces: The Basicity Property of Sines and Cosines Systems in Weight SpacesTofig Isa Najafov0Saeed Farahani1Nakhchivan State University, University Campus, AZ 7000 Nakhchivan, AzerbaijanInstitute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, AZ 1141 Baku, AzerbaijanA singular operator with Cauchy kernel on the subspaces of weight Lebesgue space is considered. A sufficient condition for a bounded action of this operator from a subspace to another subspace of weight Lebesgue space of functions is found. These conditions are not identical with Muckenhoupt conditions. Moreover, the completeness, minimality, and basicity of sines and cosines systems are considered.http://dx.doi.org/10.1155/2011/717501 |
| spellingShingle | Tofig Isa Najafov Saeed Farahani On Singular Integrals with Cauchy Kernel on Weight Subspaces: The Basicity Property of Sines and Cosines Systems in Weight Spaces International Journal of Mathematics and Mathematical Sciences |
| title | On Singular Integrals with Cauchy Kernel on Weight Subspaces: The Basicity Property of Sines and Cosines Systems in Weight Spaces |
| title_full | On Singular Integrals with Cauchy Kernel on Weight Subspaces: The Basicity Property of Sines and Cosines Systems in Weight Spaces |
| title_fullStr | On Singular Integrals with Cauchy Kernel on Weight Subspaces: The Basicity Property of Sines and Cosines Systems in Weight Spaces |
| title_full_unstemmed | On Singular Integrals with Cauchy Kernel on Weight Subspaces: The Basicity Property of Sines and Cosines Systems in Weight Spaces |
| title_short | On Singular Integrals with Cauchy Kernel on Weight Subspaces: The Basicity Property of Sines and Cosines Systems in Weight Spaces |
| title_sort | on singular integrals with cauchy kernel on weight subspaces the basicity property of sines and cosines systems in weight spaces |
| url | http://dx.doi.org/10.1155/2011/717501 |
| work_keys_str_mv | AT tofigisanajafov onsingularintegralswithcauchykernelonweightsubspacesthebasicitypropertyofsinesandcosinessystemsinweightspaces AT saeedfarahani onsingularintegralswithcauchykernelonweightsubspacesthebasicitypropertyofsinesandcosinessystemsinweightspaces |