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math.CA2019
versions of Stein's and Zygmund's theorems for the Hardy space
Odysseas Bakas, Salvador Rodríguez-López, Alan Sola
We obtain versions of some classical results of Zygmund and Stein for functions belonging to the Hardy space introduced by Bonami, Grellier, and Ky. We pr…
math.CA2019
On a problem of Pichorides
Odysseas Bakas
Let denote the classical Littlewood-Paley square function formed with respect to a lacunary sequence of positive integers. Motivated by a remark of Pichorides, we obt…