Open Access

# 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 classical interpolation are proved. Some applications to the interpolation of isotropic Hörmander spaces over a closed manifold are given.

### Article Information

 Title Interpolation with a function parameter and refined scale of spaces Source Methods Funct. Anal. Topology, Vol. 14 (2008), no. 1, 81-100 MathSciNet MR2402155 Copyright The Author(s) 2008 (CC BY-SA)

### Authors Information

Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs'ka, Kyiv, 01601, Ukraine

Aleksandr 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

### Citation Example

Vladimir A. Mikhailets and Aleksandr A. Murach, Interpolation with a function parameter and refined scale of spaces, Methods Funct. Anal. Topology 14 (2008), no. 1, 81-100.

### BibTex

@article {MFAT445,
AUTHOR = {Mikhailets, Vladimir A. and Murach, Aleksandr A.},
TITLE = {Interpolation with a function parameter and refined scale of spaces},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {14},
YEAR = {2008},
NUMBER = {1},
PAGES = {81-100},
ISSN = {1029-3531},
URL = {http://mfat.imath.kiev.ua/article/?id=445},
}