Functional Analysis and Applications Seminar 

21/12/2007, 15:00 — 16:00 — Room P3.10, Mathematics Building
Yuri I. Karlovich, Universidad Autónoma del Estado de Morelos, México

Wiener-Hopf operators with matrix oscillating symbols on weighted Lebesgue spaces

A Fredholm criterion and an index formula are established for Wiener-Hopf operators with matrix semi-almost periodic symbols on weighted Lebesgue spaces for a subclass of Muckenhoupt weights. For matrix almost periodic symbols of Wiener type, an invertibility criterion for Wiener-Hopf operators on weighted Lebesgue spaces is also obtained. These results extend to convolution type operators on weighted Lebesgue spaces on a union of intervals. The talk is based on a joint work with Juan Loreto Hernández.