Wiener-Hopf Operators with Semi-almost Periodic Matrix Symbols on Weighted Lebesgue Spaces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

Wiener-Hopf Operators with Semi-almost Periodic Matrix Symbols on Weighted Lebesgue Spaces

Authors:	Yu. I. Karlovich J. Loreto Hernández

Affiliation:	(1) Facultad de Ciencias, Universidad Autónoma del Estado de Morelos, Av. Universidad 1001, Col. Chamilpa, C.P. 62209 Cuernavaca, Morelos, México;(2) Instituto de Matemáticas, Universidad Nacional Autónoma de México, Av. Universidad 1001, Col. Chamilpa, C.P. 62210 Cuernavaca, Morelos, México

Abstract:	Fredholm criteria and index formulas are established for Wiener-Hopf operators W(a) with semi-almost periodic matrix symbols a on weighted Lebesgue spaces $L^{p}_{N}({mathbb{R}}_{+},w)$ where 1 < p < ∞, w belongs to a subclass of Muckenhoupt weights and . We also study the invertibility of Wiener-Hopf operators with almost periodic matrix symbols on $L^{p}_{N}({mathbb{R}}_{+},w)$ . In the case N = 1 we also obtain a semi-Fredholm criterion for Wiener-Hopf operators with semi-almost periodic symbols and, for another subclass of weights, a Fredholm criterion for Wiener-Hopf operators with semi-periodic symbols. Work was supported by the SEP-CONACYT Project No. 25564 (México). The second author was also sponsored by the CONACYT scholarship No. 163480.

Keywords:	KeywordHeading" >Mathematics Subject Classification (2000). Primary 47B35 Secondary 42A75, 47A53, 47A68, 47G10
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