Postdoc Fellow at BCAM
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Multipliers for Hardy-Orlicz spaces and applications
Bakas, O.
; Pott, S.; Rodríguez-López, S.; Sola, A.; Bakas, O. (2025)
Using real-variable methods, we characterise multipliers for general classes ofHardy–Orlicz spaces, unifying and extending several classical results due to Hardy and Littlewood; Duren and Shields; Paley; and others. ...
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ENDPOINT ESTIMATES FOR HIGHER ORDER MARCINKIEWICZ MULTIPLIERS
Bakas, O.; Ciccone, V.; Parissis, I.; Vitturi, M. (2025)
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 g ≥ 1. We prove the optimal endpoint bounds for ...
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Singular integrals along variable codimension one subspaces
Bakas, O.; Di Plinio, F.; Parissis, I.; Roncal, L. (2024)
This article deals with maximal operators on $\mathbb{R}^n$ formed by taking arbitrary rotations of tensor products of a $d$-dimensional H\"ormander--Mihlin multiplier with the identity in $n-d$ coordinates, in the particular ...
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SINGULAR MULTIPLIERS ON MULTISCALE ZYGMUND SETS
Bakas, O.; Ciccone, V.; Di Plinio, F.; Fraccaroli, M.; Parissis, I.; Vitturi, M. (2024)
These sets Ξ are exactly those enjoying a scale invariant version of Zygmund's (LlogL‾‾‾‾‾√,L2) improving inequality with X in place of the former space, which is termed multiscale Zygmund property. Our methods actually ...
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Multiplication between elements in martingale Hardy spaces and their dual spaces
Bakas, O.; Xu, Z; Zhai, Y.; Zhang, H (2024)
In this paper, we establish continuous bilinear decompositions that arise in the study of products between elements in martingale Hardy spaces Hp p0 ă p ⩽ 1q and functions in their dual spaces. Our decompositions are based ...
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Walter Rudin meets Elias M. Stein
Bakas, O.; Ciccone, V.; Wright, J. (2023)
Walter Rudin and Elias M. Stein were giants in the world of mathemat- ics. They were loved and admired from students and researchers to teachers and academics, both young and old. They touched many of us through ...
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Walter Rudin Meets Elias M. Stein
Bakas, O.; Ciccone, V.; Wright, J. (2023)
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Notes on $H^{\log}$: structural properties, dyadic variants, and bilinear $H^1$-$BMO$ mappings
Bakas, O.; Pott, S.; Rodríguez-López, S.; Sola, A. (2022)
This article is devoted to a study of the Hardy space $H^{\log} (\mathbb{R}^d)$ introduced by Bonami, Grellier, and Ky. We present an alternative approach to their result relating the product of a function in the real Hardy ...
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Notes on Hlog: structural properties, dyadic variants, and bilinear H1-BMO mappings
Bakas, O.; Pott, S.; Rodríguez-López, S.; Sola, A. (2022)
This article is devoted to a study of the Hardy space Hlog(Rd) introduced by Bonami, Grellier, and Ky. We present an alternative approach to their result relating the product of a function in the real Hardy space H1 and a ...