Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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A NOTE ON SOBOLEV TYPE TRACE INEQUALITIES FOR s-HARMONIC EXTENSIONS

  • Yongrui Tang (School of Mathematics and Statistics Qingdao University) ;
  • Shujuan Zhou (School of Mathematics and Statistics Qingdao University)
  • Received : 2023.05.15
  • Accepted : 2023.11.20
  • Published : 2024.03.01
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Abstract

In this paper, apply the regularities of the fractional Poisson kernels, we establish the Sobolev type trace inequalities of homogeneous Besov spaces, which are invariant under the conformal transforms. Also, by the aid of the Carleson measure characterizations of Q type spaces, the local version of Sobolev trace inequalities are obtained.

Keywords

Acknowledgement

The authors would like to thank sincerely Professor Pengtao Li for his precious suggestions on this topic.

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