4 citations · 10 across the 7 of their papers we have counts for
10 papers
Global well-posedness of critical surface quasigeostrophic equation on the sphere
Diego Alonso-Oran, Antonio Cordoba, Angel D. Martinez
In this paper we prove global well-posedness of the critical surface quasigeostrophic equation on the two dimensional sphere building on some earlier work of the authors. The proof…
Continuity of weak solutions of the critical quasigeostrophic equation on the sphere
Diego Alonso-Oran, Antonio Cordoba, Angel D. Martinez
In this paper we provide regularity results for active scalars that are weak solutions of almost critical drift-diffusion equations in general surfaces. This includes models of ani…
Integral representation for fractional Laplace-Beltrami operators
Diego Alonso-Oran, Antonio Cordoba, Angel D. Martinez
In this paper we provide an integral representation of the fractional Laplace-Beltrami operator for general riemannian manifolds which has several interesting applications. We give…
Radial multipliers and restriction to surfaces of the Fourier transform in mixed-norm spaces
Antonio Córdoba, Eric Latorre
In this article we revisit some classical conjectures in harmonic analysis in the setting of mixed norm spaces . We produce sharp bounds for the…
A pointwise inequality for fractional laplacians
Antonio Cordoba, Angel D. Martinez
The fractional laplacian is an operator appearing in several evolution models where diffusion coming from a Lévy process is present but also in the analysis of fluid interphases. W…
Singular integrals and maximal functions: the disk multiplier revisited
Antonio Córdoba
Several estimates for singular integrals, maximal functions and the spherical summation operator are given in the spaces , …