8 papers
Sharp asymptotic estimates for a class of Littlewood-Paley operators
Odysseas Bakas
It is well-known that Littlewood-Paley operators formed with respect to lacunary sets of finite order are bounded on for all . In this note it is sho…
Extrapolation on Hardy spaces and applications
Odysseas Bakas
In this survey article some classical results concerning real interpolation between Hardy spaces are briefly presented and then it is explained how those results can be used to est…
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…
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…
A Variant of Yano's Extrapolation Theorem on Hardy Spaces
Odysseas Bakas
In this note we prove a variant of Yano's classical extrapolation theorem for sublinear operators acting on analytic Hardy spaces over the torus.
A Class of Multiparameter Oscillatory Singular Integral Operators: Endpoint Hardy Space Bounds
Odysseas Bakas, Eric Latorre, Diana Cristina Rincón Martínez +1
We establish endpoint bounds on a Hardy space for a natural class of multiparameter singular integral operators which do not decay away from the support of rectangular atoms.…