On the kernel of a singular integral operator with non-carleman shift and conjugation
On the Hilbert space (L) over tilde (2)(T) the singular integral operator with non-Carleman shift and conjugation K = P+ +(aI + AC)P- is considered, where P-+/- are the Cauchy projectors, A = (m)Sigma(j=0) a(j)U(j), a, a(j), j = (1, m) over bar, are continuous functions on the unit circle T, U is th...
| Autor principal: | |
|---|---|
| Outros Autores: | |
| Formato: | article |
| Idioma: | eng |
| Publicado em: |
2018
|
| Assuntos: | |
| Texto completo: | http://hdl.handle.net/10400.1/11540 |
| País: | Portugal |
| Oai: | oai:sapientia.ualg.pt:10400.1/11540 |
| Resumo: | On the Hilbert space (L) over tilde (2)(T) the singular integral operator with non-Carleman shift and conjugation K = P+ +(aI + AC)P- is considered, where P-+/- are the Cauchy projectors, A = (m)Sigma(j=0) a(j)U(j), a, a(j), j = (1, m) over bar, are continuous functions on the unit circle T, U is the shift operator and C is the operator of complex conjugation. Some estimates for the dimension of the kernel of the operator K are obtained. |
|---|