Boundary Value Problems for Functions Analytic on Multiply Connected Domains on Spaces with a General Weight
D. Kurtz, Yuri Latushkin, Ilya M. Spitkovsky · Birkhäuser Boston eBooks · 1994
Necessary and sufficient conditions of Fredholmness, as well as index formulas, are obtained for differential boundary value problems with several unknown functions analytic on multiply connected domains. The complex conjugation and (forward or backward) shifts are involved in boundary conditions of above mentioned problems, and solutions are sought in weighted spaces with weights satisfying only the Hunt-Muckenhoupt-Wheeden condition. The results are of an explicit nature in the case of piecewise continuous coefficients. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.