3 papers
math.AP2026
Soliton and breather resolution for the cubic Szegö flow on the line
Patrick Gerard, Sandrine Grellier
We investigate the long time behaviour of the solutions of the cubic Szeg}o equation on the line in the Sobolev space H^{1/2}(R). We prove that, for every datum of which the Lax op…
math.CA2025
Stein's theorem in the upper-half plane and Bergman spaces with weights
Aline Bonami, Sandrine Grellier, Benoît Sehba
This is a companion paper to our previous one, Avatars of Stein's Theorem in the complex setting. In this previous paper, we gave a sufficient condition for an integrable function…
math.CA2025
Global Stein Theorem on Hardy spaces
Aline Bonami, Sandrine Grellier, Benoit Sehba
Let f be an integrable function which has integral 0 on R n. What is the largest condition on |f | that guarantees that f is in the Hardy space H 1 (R n)? When f is compactly suppo…