Fredholm pseudo-differential operators on weighted Sobolev spaces
Let P be a pseudo-differential operator in the global class \(OPS^ m_{1,0}({\mathbb{R}}^ n\times {\mathbb{R}}^ m).\) In this paper, using some careful estimates on the boundness of P in the weighted Sobolev spaces \(W^{s+m,p}({\mathbb{R}}^ n,wdx),\) the author gives sufficient conditions on the symbol of P, in order that P be Fredholm in these spaces.
scientific article; zbMATH DE number 3863935
scientific article