A normalization problem for a class of singular integral operators with carleman shift and unbounded coefficients期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

A normalization problem for a class of singular integral operators with carleman shift and unbounded coefficients

Authors:	V. G. Kravchenko A. B. Lebre G. S. Litvinchuk F. S. Teixeira

Affiliation:	(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

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.

Keywords:	Primary 45E05 Secondary 47A53
本文献已被 SpringerLink 等数据库收录！