33 citations · 56 across the 27 of their papers we have counts for
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math.AP2020
Function Spaces via Fractional Poisson Kernel on Carnot Groups and Applications
Ali Maalaoui, Andrea Pinamonti, Gareth Speight
We provide a new characterization of homogeneous Besov and Sobolev spaces in Carnot groups using the fractional heat kernel and Poisson kernel. We apply our results to study commut…
math.AP2020★ 4 cited
Some properties of Dirac-Einstein bubbles
William Borrelli, Ali Maalaoui
We prove smoothness and provide the asymptotic behavior at infinity of solutions of Dirac-Einstein equations on , which appear in the bubbling analysis of conformal D…
math.AP2020
Existence results for the conformal Dirac-Einstein system
Chiara Guidi, Ali Maalaoui, Vittorio Martino
In this paper we consider the coupled system given by the first variation of the conformal Dirac-Einstein functional. We will show existence of solutions by means of perturbation m…