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The Local Trace Inequality for Potential Type Integral Operators

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Abstract

The local trace inequality for potential type integral operator is shown and the trace inequality in the framework of Morrey spaces is obtained. A sufficient condition for the equivalence between the Kerman–Sawyer condition and the Adams condition is also presented.

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Authors and Affiliations

  1. Graduate School of Mathematical Sciences, The University of Tokyo, Tokyo, 153–8914, Japan

    Hitoshi Tanaka

  2. Department of Mathematics, Bandung Institute of Technology, Bandung, 40132, Indonesia

    Hendra Gunawan

Authors
  1. Hitoshi Tanaka
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  2. Hendra Gunawan
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Corresponding author

Correspondence to Hitoshi Tanaka.

Additional information

The first author is supported by the Global COE program at Graduate School of Mathematical Sciences, the University of Tokyo, Grant-in-Aid for Scientific Research (C) (No. 23540187), Japan Society for the Promotion of Science, and was supported by Fūjyukai Foundation.

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Tanaka, H., Gunawan, H. The Local Trace Inequality for Potential Type Integral Operators. Potential Anal 38, 653–681 (2013). https://doi.org/10.1007/s11118-012-9291-z

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  • DOI: https://doi.org/10.1007/s11118-012-9291-z

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