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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…