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math.CA2018
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.
math.CA2018
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.…
math.CA2018★ 4 cited
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…