Interpolation with a function parameter and refined scale of spaces

Abstract

The interpolation of couples of separable Hilbert spaces with a function parameter is studied. The main properties of the classic interpolation are proved. Some applications to the interpolation of isotropic Hörmander spaces over a closed manifold are given.

References in corpus (2)

• Elliptic systems of pseudodifferential equations in a refined scale on a closed manifold
• Regular elliptic boundary-value problem in a two-sided refined scale of spaces

Cited by in corpus (7)

• Interpolation Hilbert spaces between Sobolev spaces
• Implicit iteration methods in Hilbert scales under general smoothness conditions
• Elliptic operators on refined Sobolev scales on vector bundles
• Elliptic boundary-value problems in the sense of Lawruk on Sobolev and Hörmander spaces
• Regular elliptic boundary-value problems in the extended Sobolev scale
• General parabolic initial-boundary value problems in Hörmander spaces
• An extended Hilbert scale and its applications