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+34 946 567 842
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+34 946 567 842
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znieraeth@bcamath.org
Information of interest
- Orcid: 0000-0002-5907-5336
Postdoc Fellow at BCAM
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Banach function spaces done right
Lorist, E.; Nieraeth, Z.
(2024-03)
In this survey, we discuss the definition of a (quasi-)Banach function space. We advertise the original definition by Zaanen and Luxemburg, which does not have various issues introduced by other, subsequent definitions. ...
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Extrapolation in general quasi-Banach function spaces
Nieraeth, Z. (2023-11-15)
In this work we prove off-diagonal, limited range, multilinear, vector-valued, and two-weight versions of the Rubio de Francia extrapolation theorem in general quasi-Banach function spaces. We prove mapping properties of ...
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Weighted BMO estimates for singular integrals and endpoint extrapolation in Banach function spaces
Nieraeth, Z.; Rey, G. (2023-05-01)
In this paper we prove sharp weighted BMO estimates for singular integrals, and we show how such estimates can be extrapolated to Banach function spaces.
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Weighted Lorentz spaces: Sharp mixed A<inf>p</inf> − A<inf>∞</inf> estimate for maximal functions
Accomazzo, N.; Duoandikoetxea, J.; Nieraeth, Z.; Ombrosi, S.; Pérez, C. (2023-03-15)
We prove the sharp mixed Ap−A∞ weighted estimate for the Hardy-Littlewood maximal function in the context of weighted Lorentz spaces, namely [Formula presented] where [Formula presented]. Our method is rearrangement free ...