On the possibility of strengthening the Lieb-Thirring inequality. (English. Russian original) Zbl 1185.26039
Math. Notes 86, No. 6, 753-766 (2009); translation from Mat. Zametki 86, No. 6, 803-818 (2009).
Answering a problem of B. S. Kaskin pertaining to inequalities of Lieb–Thirring type for orthonormal systems, the author proved two crucial theorems using the standard theory of functions. His inequalities have applications in the theory of partial differential equations, too.
Reviewer: László Leindler (Szeged)
Keywords:
Lieb-Thirring inequality; orthonormal system; function theory; Fourier transform; partial differential equationReferences:
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