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