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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/198754
El Teorema de Brown-Shields-Zeller
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[en] In this memoir we will prove the extension of the Brown-Shields-Zeller Theorem to $H^p$, which states that a sequence in the unit disk $\mathbb{D}$ is sampling for the Hardy space $H^p$ if and only if almost every point of the unit circle is a non-tangential limit point of the sequence.
To prove this result we will base our study in the Harmonic analysis, in particular the study of harmonic functions and Poisson kernels and integrals, which will play an important role in the work. Finally, we will finish with a factorization on the Hardy spaces to give way to the proof of Brown-Shields-Zeller.
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Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2023, Director: Francesc Xavier Massaneda Clares
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MÁRQUEZ MARTÍNEZ, Ferran. El Teorema de Brown-Shields-Zeller. [consulted: 13 of June of 2026]. Available at: https://hdl.handle.net/2445/198754