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Interpolation with a function parameter and refined scale of spaces

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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.


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Article Information

TitleInterpolation with a function parameter and refined scale of spaces
SourceMethods Funct. Anal. Topology, Vol. 14 (2008), no. 1, 81-100
MathSciNet MR2402155
CopyrightThe Author(s) 2008 (CC BY-SA)

Authors Information

Vladimir A. Mikhailets
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},
}


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