The fractional Makai-Hayman inequality.

We prove that the first eigenvalue of the fractional Dirichlet-Laplacian of order $s$ on a simply connected set of the plane can be bounded from below in terms of its inradius only. This is valid for $1/2

Keywords:

• Simply connected space
• Eigenvalues and eigenvectors
• Incircle and excircles of a triangle
• Bounded function
• constant
• Pure mathematics
• Limit (mathematics)
• Upper and lower bounds
• Mathematics
• order

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