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Transference theory between quasi-Banach function spaces with applications to the restriction of Fourier multipliers.

Rodríguez López, Salvador (Date of defense: 2008-04-07)

In the early 1970 fs, R. Coifman and G. Weiss, generalizing the techniques introduced by A. Calderon, developed a method for transferring abstract convolution type operators, defined on general topological ...

Endpoint estimates via extrapolation theory

Domingo Salazar, Carlos (Date of defense: 2016-04-07)

In this thesis, we study different variants of Rubio de Francia’s extrapolation that allow us to obtain estimates near L1. This theory is subsequently applied to deduce enpoint boundedness for the ...

Boundedness of the Hilbert Transform on Weighted Lorentz Spaces

Agora, Elona (Date of defense: 2012-07-13)

The main goal of this thesis is to characterize the weak-type (resp. strong-type) boundedness of the Hilbert transform H on weighted Lorentz spaces Λpu(w). The characterization is given in terms of ...

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Transference theory between quasi-Banach function spaces with applications to the restriction of Fourier multipliers.

Endpoint estimates via extrapolation theory

Boundedness of the Hilbert Transform on Weighted Lorentz Spaces

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Transference theory between quasi-Banach function spaces with applications to the restriction of Fourier multipliers.

Endpoint estimates via extrapolation theory

Boundedness of the Hilbert Transform on Weighted Lorentz Spaces