5 citations · 12 across the 5 of their papers we have counts for
6 papers
Fourier series in BMO with number theoretical implications
Fernando Chamizo, Antonio Córdoba, Adrián Ubis
We introduce an elementary argument to bound the seminorm of Fourier series with gaps giving in particular a sufficient condition for them to be in this space. Using…
A note on generalized laplacians and minimal surfaces
Antonio Córdoba, Jesús Ocáriz
In these notes we give an interdisciplinary result which links the geometric concept of minimal surfaces with generalized harmonic functions.
A conjecture of Antoni Zygmund
Antonio Córdoba, Eric Latorre, Ángel D. Martínez
In this paper we establish an exponential covering theorem implying a conjecture formulated by A. Zygmund circa 1935 whose three-dimensional case was obtained by the first named au…
Uniqueness for SQG patch solutions
Antonio Córdoba, Diego Córdoba, Francisco Gancedo
This paper is about the evolution of a temperature front governed by the Surface quasi-geostrophic equation. The existence part of that program within the scale of Sobolev spaces w…
Core regulatory network motif underlies the ocellar complex patterning in Drosophila melanogaster
Daniel Aguilar-Hidalgo, M. Carmen Lemos, Antonio Córdoba
During organogenesis, developmental programs governed by Gene Regulatory Networks (GRN) define the functionality, size and shape of the different constituents of living organisms.…
On Conic Fourier Multipliers
Antonio Córdoba, Keith M. Rogers
We prove a weighted inequality which controls conic Fourier multiplier operators in terms of lacunary directional maximal operators. By bounding the maximal operators, this enables…