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Journal of Mathematical Sciences

, Volume 77, Issue 3, pp 3221–3224 | Cite as

Theorems on the traces and multipliers of functions from the Lizorkin-Triebel spaces

  • Yu. V. Netrusov
Article
  • 24 Downloads

Abstract

This paper contains a description of multipliers in the spaces F p,θ l , FL p,θ l , and BL p,∞ l , 0<p≤1. Moreover, the author indicates a class of sets A, A⊂Rn, (or measures ν) so that the traces of spaces of the Lizorkin-Triebel type onto such a set A (or a measure ν) coincide with the ideal space (or with the Lebesgue space Lp(ν)). Bibliography: 4 titles.

Keywords

Lebesgue Space Ideal Space 
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Literature Cited

  1. 1.
    H. Triebel,Theory of Functional Spaces [in Russian translation], Moscow (1986).Google Scholar
  2. 2.
    V. G. Maz’ya and T. O. Shaposhnikova,Multipliers in Spaces of Differentiable Functions [in Russian], Leningrad (1986).Google Scholar
  3. 3.
    R. S. Strichartz, “Multipliers on fractional Sobolev spaces,”J. Math. Mech.,16, No. 9, 10031–1060 (1967).MathSciNetGoogle Scholar
  4. 4.
    Yu. V. Netrusov, “Sets of singularities of functions from spaces of the type of Besov and Lizorkin-Triebel spaces,”Tr. Mat. Inst. AN USSR,187, 162–177 (1989).MathSciNetGoogle Scholar

Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • Yu. V. Netrusov

There are no affiliations available

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