  In this paper, we prove the global regularity of smooth solutions to 2D
surface quasi-geostrophic (SQG) equations with super-critical dissipation for a
class of large initial data, where the velocity and temperature can be
arbitrarily large in spaces $L^\infty(\mathbb{R}^2)$ and $H^3(\mathbb{R}^2)$.
This result could be seen as an improvement work of Liu-Pan-Wu \cite{Liu}, for
it's without any smallness hypothesis of the $L^\infty(\mathbb{R}^2)$ norm of
the initial data.
