A Brascamp-Lieb-Luttinger–type inequality and applications to symmetric stable processes

By Rodrigo Bañuelos, Rafal Latala, P. Méndez-Hernández. 2001

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A Hong-Krahn-Szegö inequality for mixed local and nonlocal operators (2021, background): “The optimal shape problems for the first eigenvalue of the fractional Laplacian with homogeneous external datum was addressed in [3, 13, 56, 11], showing that the ball is the optimizer.”
Trace estimates for stable processes (2007, unknown): “43 13 v1 [ m at h. SP”
The Cauchy process and the Steklov problem (2004, methodology): “This estimate is better than the previous best bounds contained in [2].”
Two-sided eigenvalue estimates for subordinate processes in domains (2005, result): “These results include, among other things, sharp estimates on the Green functions and Poisson kernels [12,23], intrinsic ultracontractivity [11,24], conditional gauge theorems [8,11,14,33], the boundary Harnack principle [6,33], the identification of Martin boundary for various domains [7,13,33], an”