Interpolation with a function parameter and refined scale of spaces

Authors

  • V. A. Mikhailets Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs'ka, Kyiv, 01601, Ukraine https://orcid.org/0000-0002-1332-1562
  • A. A. Murach Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs'ka, Kyiv, 01601, Ukraine; Chernigiv State Technological University, 95 Shevchenka, Chernigiv, 14027, Ukraine

DOI:

Keywords:

Abstract

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

Downloads

Published

2008-03-25

Issue

Vol. 14 No. 1 (2008)

Section

Articles

How to Cite

Mikhailets, V. A., and A. A. Murach. “Interpolation With a Function Parameter and Refined Scale of Spaces”. Methods of Functional Analysis and Topology, vol. 14, no. 1, Mar. 2008, pp. 81-100, https://zen.imath.kiev.ua/index.php/mfat/article/view/372.