3 papers
math.AP2026
On Kato's smoothing effects for KdV and Benjamin type equations
Carlos Garzón, Oscar Riaño
We analyze how the interaction between local and nonlocal dispersions, combined with different types of nonlinearities, influences the smoothing effects of solutions. To achieve th…
math.CA2026
The smoothest average and some extremal problems for polynomials
José Gaitán, Carlos Garzón, José Madrid
We study the problem of finding the "smoothest'' local average of a function when we consider its convolution with suitable kernels . The measurement…
math.CA2026
On the frequency function of Hardy-Littlewood maximal functions
Carlos Garzón, José Madrid
We study the frequency function (introduced by Temur) in both the discrete and continuous settings. More precisely, we extend the definition of the frequency function to the higher…