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Title: Interpolation theory and applications to the boundedness of operators in analysis
Author: Lendı́nez Capdevila, Jordi
Director: Soria de Diego, F. Javier
Keywords: Interpolació (Matemàtica)
Anàlisi harmònica
Tesis de màster
Espais funcionals
Harmonic analysis
Masters 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
Appears in Collections:Màster - Matemàtica Avançada

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