The fractional p-Laplacian on hyperbolic spaces

Note: Please see pdf for full abstract with equations. We present three equivalent definitions of the fractional p -Laplacian (−Δ H n ) s p , 0 < s 1 , with normalizing constants, on the hyperbolic spaces. The explicit values of the constants enable us to study the convergence of the fractional p -Laplacian to the p -Laplacian as s → 1 − . 2020 Mathematics Subject Classification. 35J92, 35R11.