On the lower bound and upper bound of the Sum of Eigenvalues of the Fractional-Logarithmic Laplacian
Abstract
We establish a lower bound and an upper bound to the sum of the Fractional-Logarithmic Laplacian. A main challenge in such a study comes from the fact that this operator has a Fourier symbol that is not globally monotone in its radial variable due to its low-frequency behavior.
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