Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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CONTINUOUS CHARACTERIZATION OF THE TRIEBEL-LIZORKIN SPACES AND FOURIER MULTIPLIERS

  • Cho, Yong-Kum (DEPARTMENT OF MATHEMATICS COLLEGE OF NATURAL SCIENCE CHUNG-ANG UNIVERSITY)
  • Received : 2009.03.09
  • Published : 2010.07.31
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Abstract

We give a set of continuous characterizations for the homogeneous Triebel-Lizorkin spaces and use them to study boundedness properties of Fourier multiplier operators whose symbols satisfy a generalization of H$\ddot{o}$rmander's condition. As an application, we give new direct proofs of the imbedding theorems of the Sobolev type.

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References

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