Soria de Diego, F. JavierLendínez Capdevila, Jordi2017-03-072017-03-072016-06-16https://hdl.handle.net/2445/108004Treballs finals del Màster en Matemàtica Avançada, Facultat de matemàtiques, Universitat de Barcelona, Any: 2016, Director: F. Javier Soria de DiegoThe 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 1939.125 p.application/pdfengcc-by-nc-nd (c) Jordi Lendı́nez Capdevila, 2016http://creativecommons.org/licenses/by-nc-nd/3.0/es/Interpolació (Matemàtica)Anàlisi harmònicaTreballs de fi de màsterEspais funcionalsInterpolationHarmonic analysisMaster's thesesFunction spacesInterpolation theory and applications to the boundedness of operators in analysisinfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/openAccess