5 citations · 12 across the 5 of their papers we have counts for
4 papers · 1 filter
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…
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…