2 papers
math.AP2025
Blow-up exponents and a semilinear elliptic equation for the fractional Laplacian on hyperbolic spaces
Tommaso Bruno, Effie Papageorgiou
Let be the -dimensional real hyperbolic space, its nonnegative Laplace--Beltrami operator whose bottom of the spectrum we denote by , and .…
math.FA2025
Boundedness properties of the maximal operator in a nonsymmetric inverse Gaussian setting
Tommaso Bruno, Valentina Casarino, Paolo Ciatti +1
We introduce a generalized inverse Gaussian setting and consider the maximal operator associated with the natural analogue of a nonsymmetric Ornstein--Uhlenbeck semigroup. We prove…