Introduces the fractional-logarithmic Laplacian via differentiation of the fractional Laplacian, establishes equivalent representations and energy spaces with compact critical embeddings, and derives a Weyl asymptotic combining fractional scaling with logarithmic growth for Dirichlet eigenvalues.
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The Fractional-Logarithmic Laplacian:Fundamental Properties and Eigenvalues
Introduces the fractional-logarithmic Laplacian via differentiation of the fractional Laplacian, establishes equivalent representations and energy spaces with compact critical embeddings, and derives a Weyl asymptotic combining fractional scaling with logarithmic growth for Dirichlet eigenvalues.