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http://hdl.handle.net/2445/108004| Title: | Interpolation theory and applications to the boundedness of operators in analysis |
| Author: | Lendínez Capdevila, Jordi |
| Director/Tutor: | Soria de Diego, F. Javier |
| Keywords: | Interpolació (Matemàtica) Anàlisi harmònica Treballs de fi de màster Espais funcionals Interpolation Harmonic analysis Master's theses Function spaces |
| Issue Date: | 16-Jun-2016 |
| Abstract: | The objective of this work is to introduce some results and applications of Interpolation Theory (as a reference we use the books [4] and [3]) . The interpolation theory was aimed in the two classical theorems: The Riesz-Thorin Interpolation Theorem that motivates the complex interpolation and was proved by Riesz in 1927 but only for the lower-triangle case, and the general case by Thorin in 1938; and the Marcinkiewicz Interpolation Theorem that motivates the real interpolation and was proved by Marcinkiewicz in 1939. |
| Note: | Treballs finals del Màster en Matemàtica Avançada, Facultat de matemàtiques, Universitat de Barcelona, Any: 2016, Director: F. Javier Soria de Diego |
| URI: | http://hdl.handle.net/2445/108004 |
| Appears in Collections: | Màster Oficial - Matemàtica Avançada |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| memoria.pdf | Memòria | 688.93 kB | Adobe PDF | View/Open |
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