A normalization problem for a class of singular integral operators with carleman shift and unbounded coefficients |
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| Authors: | V G Kravchenko A B Lebre G S Litvinchuk F S Teixeira |
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| Institution: | (1) Unidade de Ciências Exactas e Humanas, Universidade do Algarve, Campus de Gambelas, 8000 Faro, Portugal;(2) Departamento de Matemática do Instituto Superior Técnico, Av. Rovisco Pais, 1096 Lisboa Codex, Portugal |
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| Abstract: | The solution to a normalization problem for singular integral operators with Carleman shift and degenerate and unbounded coefficients inL
p
( ) is obtained, where is either the unit circle or the real line. The approach followed consists mainly in two steps: the reduction to a singular integral operator with bounded coefficients and the use of the solution to an abstract normalization problem.This research was supported by JNICT under the grant PBIC/C/CEN/1040/92. |
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| Keywords: | Primary 45E05 Secondary 47A53 |
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