Weighted Hardy-Sobolev spaces and complex scaling of differential equations with operator coefficients

Details Weighted Hardy-Sobolev spaces and complex scaling of differential equations with operator coefficients Weighted Hardy-Sobolev spaces and complex scaling of differential equations with operator coefficients

2009-01-12

arxiv.org/abs/0901.1615v1

Mathematics

Analysis of PDEs

75 pp

Scientific paper

In this paper we study weighted Hardy-Sobolev spaces of vector valued functions analytic on double-napped cones of the complex plane. We introduce these spaces as a tool for complex scaling of linear ordinary differential equations with dilation analytic unbounded operator coefficients. As examples we consider boundary value problems in cylindrical domains and domains with quasicylindrical ends.

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