• Journal of the Chungcheong Mathematical Society
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• v.32 no.2
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• pp.239-243
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• 2019

Logarithmic Sobolev trace inequalities are derived from the well known classical Sobolev trace inequalities as a limiting case.

• Journal of the Chungcheong Mathematical Society
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• v.33 no.2
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• pp.301-305
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• 2020

Logarithmic fractional Sobolev trace inequalities are derived as a generalization of the results in [6, 9].

• Journal of the Korean Mathematical Society
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• v.61 no.2
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• pp.341-356
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• 2024

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.

• Bulletin of the Korean Mathematical Society
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• v.57 no.5
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• pp.1143-1149
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• 2020

Sobolev trace inequalities on nonhomogeneous fractional Sobolev spaces are established.