Treballs finals del Màster en Matemàtica Avançada, Facultat de matemàtiques, Universitat de Barcelona, Any: 2016, Director: F. Javier Soria de Diego
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.