4 citations · 6 across the 13 of their papers we have counts for
17 papers
Endpoint estimates for multiparameter multipliers of Marcinkiewicz type
Odysseas Bakas, Ioannis Parissis
In this paper we prove sharp endpoint estimates for multiparameter Marcinkiewicz multiplier operators. More precisely, this result is a consequence of a more general theorem for mu…
Singular multipliers on multiscale Zygmund sets
Odysseas Bakas, Valentina Ciccone, Francesco Di Plinio +3
Given an Orlicz space on , with submultiplicative Young function , we fully characterize the closed null sets of the rea…
Endpoint estimates for higher order Marcinkiewicz multipliers
Odysseas Bakas, Valentina Ciccone, Ioannis Parissis +1
We consider Marcinkiewicz multipliers of any lacunary order defined by means of uniformly bounded variation on each lacunary Littlewood--Paley interval of some fixed order $τ\geq 1…
Multipliers for Hardy-Orlicz spaces and applications
Odysseas Bakas, Sandra Pott, Salvador Rodriguez-Lopez +1
Using real-variable methods, we characterise multipliers for general classes of Hardy--Orlicz spaces, unifying and extending several classical results due to Hardy and Littlewood;…
Multiplication between elements in Martingale Hardy spaces and their duals
Odysseas Bakas, Zhendong Xu, Yujia Zhai +1
In this paper, we establish continuous bilinear decompositions that arise in the study of products between elements in martingale Hardy spaces and functio…
Singular integrals along variable codimension one subspaces
Odysseas Bakas, Francesco Di Plinio, Ioannis Parissis +1
This article deals with maximal operators on formed by taking arbitrary rotations of tensor products of a -dimensional Hörmander--Mihlin multiplier with the iden…
Notes on : structural properties, dyadic variants, and bilinear - mappings
Odysseas Bakas, Sandra Pott, Salvador Rodríguez-López +1
This article is devoted to a study of the Hardy space introduced by Bonami, Grellier, and Ky. We present an alternative approach to their result relating…
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.…
Multi-parameter extensions of a theorem of Pichorides
Odysseas Bakas, Salvador Rodriguez-Lopez, Alan Sola
Extending work of Pichorides and Zygmund to the -dimensional setting, we show that the supremum of -norms of the Littlewood-Paley square function over the unit ball of the…
A multiplier inclusion theorem on product domains
Odysseas Bakas
In this note it is shown that the class of all multipliers from the -parameter Hardy space to is properly contained in…
Variants of the Inequalities of Paley and Zygmund
Odysseas Bakas
We examine versions of the classical inequalities of Paley and Zygmund for functions of several variables. A sharp multiplier inclusion theorem and variants on the real line are ob…
Endpoint Mapping properties of the Littlewood-Paley square function
Odysseas Bakas
In this note we give an alternative proof of a theorem due to Bourgain \cite{Bourgain} concerning the growth of the constant in the Littlewood-Paley inequality on as $…