Muckenhoupt weights and doubling measures

Vista senzilla d'ítem
dc.contributor.advisorPrats Soler, Martí
dc.contributor.authorRams Domenech, Roger
dc.date.accessioned2026-03-17T17:41:12Z
dc.date.available2026-03-17T17:41:12Z
dc.date.issued2025-06-12
dc.descriptionTreballs finals del Màster en Matemàtica Avançada, Facultat de Matemàtiques, Universitat de Barcelona: Any: 2025. Director: Martí Prats Soler
dc.description.abstractThe main goal of this project is to study Muckenhoupt weights in a context of integration with respect to doubling measures. The first part is an introduction to measure theory, covering theorems and differentiation of measures. In the second part, we introduce the Calderón–Zygmund decomposition and the Hardy–Littlewood maximal operator, concepts that will be important to study $A_p$ spaces. Finally, the third section is dedicated to the study of the Muckenhoupt weights, characterizing them through inequalities and proving relations between different $A_p$ spaces.
dc.format.extent34 p.
dc.format.mimetypeapplication/pdf
dc.identifier.urihttps://hdl.handle.net/2445/228221
dc.language.isoeng
dc.rightscc by-nc-nd (c) Roger Rams Domenech, 2025
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.sourceMàster Oficial - Matemàtica Avançada
dc.subject.classificationTeoria de la mesura geomètricacat
dc.subject.classificationAnàlisi de Fouriercat
dc.subject.classificationAnàlisi harmònicaca
dc.subject.classificationTreballs de fi de màstercat
dc.subject.classificationRoger Rams Domenechcat
dc.subject.otherGeometric measure theoryeng
dc.subject.otherFourier analysiseng
dc.subject.otherHarmonic analysiseng
dc.subject.otherMaster's thesiseng
dc.titleMuckenhoupt weights and doubling measures
dc.typeinfo:eu-repo/semantics/masterThesis

Fitxers

Paquet original

Mostrant 1 - 1 de 1
Miniatura
Nom:
TFM_Rams_Domenech_Roger.pdf
Mida:
590.52 KB
Format:
Adobe Portable Document Format
Descarregar

Col·leccions

Màster Oficial - Matemàtica Avançada