Abstract
In this paper, the expression of the norm of a self-adjoint integral operator T : L 2(0,∞) → L 2(0,∞) is obtained. As applications, a new bilinear integral inequality with a best constant factor is established and some particular cases are considered.
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Supported by the Emphases Natural Science Foundation of Guangdong Institutions of Higher Learning, College and University (No. 05Z026)
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Yang, B.C. On the Norm of a Self-Adjoint Operator and a New Bilinear Integral Inequality. Acta Math Sinica 23, 1311–1316 (2007). https://doi.org/10.1007/s10114-005-0895-8
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DOI: https://doi.org/10.1007/s10114-005-0895-8