99 citations · 217 across the 27 of their papers we have counts for
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math.SP2006
Spectral gap for stable process on convex planar double symmetric domains
Bartlomiej Dyda, Tadeusz Kulczycki
We study the semigroup of the symmetric -stable process in bounded domains in . We obtain a variational formula for the spectral gap, i.e. the difference between two first…
math.PR2006★ 99 cited
Estimates and structure of -harmonic functions
Krzysztof Bogdan, Tadeusz Kulczycki, Mateusz Kwaśnicki
We prove a uniform boundary Harnack inequality for nonnegative harmonic functions of the fractional Laplacian on arbitrary open set . This yields a unique representation of such…