On Singular Integrals with Cauchy Kernel on Weight Subspaces : The Basicity Property of Sines and Cosines Systems in Weight Spaces
Joint Authors
Najafov, Tofig Isa
Farahani, Saeed
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-05-24
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Najafov, Tofig Isa& Farahani, Saeed. 2011. 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،Vol. 2011, no. 2011, pp.1-13.
https://search.emarefa.net/detail/BIM-492991
Modern Language Association (MLA)
Najafov, Tofig Isa& Farahani, Saeed. 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 No. 2011 (2011), pp.1-13.
https://search.emarefa.net/detail/BIM-492991
American Medical Association (AMA)
Najafov, Tofig Isa& Farahani, Saeed. 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. 2011. Vol. 2011, no. 2011, pp.1-13.
https://search.emarefa.net/detail/BIM-492991
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-492991
