1 citations · 2 across the 2 of their papers we have counts for
4 papers
The Fourier extension operator of distributions in Sobolev spaces of the sphere and the Helmholtz equation
J. A. Barceló, M. Folch-Gabayet, T. Luque +2
The purpose of this paper is to characterize all the entire solutions of the homogeneous Helmholtz equation (solutions in ) arising from the Fourier extension operato…
Characterization of Sobolev spaces on the sphere
J. A. Barceló, T. Luque, S. Pérez-Esteva
We prove a characterization of the Sobolev spaces on the unit sphere , where the smoothness index is any positive real number and . This charac…
Reproducing kernel for elastic Herglotz functions
Teresa Luque, María de la Cruz Vilela
We study the elastic Herglotz wave functions, which are entire solutions of the spectral Navier equation appearing in the linearized elasticity theory with far-field patterns…
A condition for the strong maximal function
Liguang Liu, Teresa Luque
A strong version of the Orlicz maximal operator is introduced and a natural condition for the rectangle case is defined to characterize its boundedness. This fact let us to d…