Mesures de Carleson per a espais de Bergman en el disc

Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2019, Director: Ma. Carme Cascante [en] The main theme of this project is to study the Carleson measures in the Bergman spaces in the unit disk. For this reason, first of all, we will introduce and we w...

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Bibliographische Detailangaben
1. Verfasser:	Ribot Albert, Gerard
Format:	Dissertation
Sprache:	cat
Schlagworte:	Analytic functions Analytic spaces Anàlisi funcional Bachelor's theses Espais analítics Funcions analítiques Funcions de variables complexes Functional analysis Functions of complex variables Treballs de fi de grau
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Zusammenfassung:	Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2019, Director: Ma. Carme Cascante [en] The main theme of this project is to study the Carleson measures in the Bergman spaces in the unit disk. For this reason, first of all, we will introduce and we will prove the properties of these spaces, we will compute the Bergman Kernel and we will see the main properties of bounded Bergman projection. And finally, we will give a characterization of Carleson measures in theses spaces on the disk and we will finish with a non-trivial example of these.