Publicação
Algebras of singular integral operators with piecewise continuous coefficients on weighted Nakano spaces
| Resumo: | We find Fredholm criteria and a formula for the index of an arbitrary operator in the Banach algebra of singular integral operators with piecewise continuous coefficients on Nakano spaces (generalized Lebesgue spaces with variable exponent) with Khvedelidze weights over either Lyapunov curves or Radon curves without cusps. These results ``localize'' the Gohberg-Krupnik Fredholm theory with respect to the variable exponent. |
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| Autores principais: | Karlovich, Alexei Yu. |
| Assunto: | Weighted Nakano space Khvedelidze weight One-dimensional singular integral operator Lyapunov curve Radon curve Fredholmness |
| Ano: | 2007 |
| País: | Portugal |
| Tipo de documento: | comunicação em conferência |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Universidade do Minho |
| Idioma: | inglês |
| Origem: | RepositóriUM - Universidade do Minho |
| Resumo: | We find Fredholm criteria and a formula for the index of an arbitrary operator in the Banach algebra of singular integral operators with piecewise continuous coefficients on Nakano spaces (generalized Lebesgue spaces with variable exponent) with Khvedelidze weights over either Lyapunov curves or Radon curves without cusps. These results ``localize'' the Gohberg-Krupnik Fredholm theory with respect to the variable exponent. |
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