The multiplication operator in (p,phi) Morrey spaces and its applications to sports data science
| dc.contributor.advisor | Castillo, René Erlin | |
| dc.contributor.author | González Ostos, Juan Felipe | |
| dc.date.accessioned | 2026-02-10T19:08:09Z | |
| dc.date.available | 2026-02-10T19:08:09Z | |
| dc.date.issued | 2025-07-03 | |
| dc.description | ilustraciones a color, diagramas, tablas | spa |
| dc.description.abstract | Studying situational baseball is perhaps one of the toughest things to do in the sport due to the many things that may intervene and change during a plate appearance. This work aims to solve such difficulty by analyzing a players performance through advanced mathematical tools, precisely, Generalized Morrey spaces and the action of the multiplication operator on it. The constancy or variability of a player over similar game circumstances is measured by the norm of functions and studied in terms of the game, a value is assigned to each player along with the interpretation and impact on the game. | eng |
| dc.description.abstract | Estudiar el béisbol desde el punto de vista situacional es tal vez algo complicado en el contexto del deporte dadas las múltiples características que intervienen al momento en que un jugador realiza su turno al bate. Este trabajo busca solucionar esta dificultad al analizar el rendimiento de un jugador con la ayuda de herramientas de matemática avanzada, en específico, los espacios generalizados de Morrey y la acción del operador multiplicación en estos mismos. La constancia y variabilidad de un jugador son medidos con la norma de funciones y estudiados en términos del juego, un valor es asignado a cada jugador con su respectiva interpretación e impacto en el juego. (Texto tomado de la fuente) | spa |
| dc.description.degreelevel | Maestría | |
| dc.description.degreename | Magíster en Ciencias - Matemática Aplicada | |
| dc.description.researcharea | Análisis funcional | |
| dc.description.researcharea | Ciencia de datos | |
| dc.format.extent | xiii, 128 páginas | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.instname | Universidad Nacional de Colombia | spa |
| dc.identifier.reponame | Repositorio Institucional Universidad Nacional de Colombia | spa |
| dc.identifier.repourl | https://repositorio.unal.edu.co/ | spa |
| dc.identifier.uri | https://repositorio.unal.edu.co/handle/unal/89462 | |
| dc.language.iso | spa | |
| dc.publisher | Universidad Nacional de Colombia | |
| dc.publisher.branch | Universidad Nacional de Colombia - Sede Bogotá | |
| dc.publisher.department | Departamento de Matemáticas | spa |
| dc.publisher.faculty | Facultad de Ciencias | |
| dc.publisher.place | Bogotá, Colombia | |
| dc.publisher.program | Bogotá - Ciencias - Maestría en Ciencias - Matemática Aplicada | |
| dc.relation.references | Castillo, R. E. & Rafeiro, H.: , 2016; An Introductory Course in Lebesgue Spaces; Springer. | |
| dc.relation.references | Castillo, R. E.; Ostos, J. F. G. & Chaparro, H. C.: , ; Generalized morrey spaces and multiplication operators | |
| dc.relation.references | Castrovince, A.: , 2020; Fan’s Guide to Baseball Analytics: Why WAR, WHIP, wOBA, and Other Advanced Sabermetrics Are Essential to Understanding Modern Baseball. | |
| dc.relation.references | Dutta, H. & Das, S.: , 2019; Multiplication operators on some morrey spaces; Filomat; 33 (16): 5051--5059. | |
| dc.relation.references | Hatano, N.; Ikeda, M. & Ishikawa, I.: , 2021; Boundedness of composition operators on morrey spaces and weak morrey spaces; J. Inequal. Appl.; 2021: 69. | |
| dc.relation.references | Idris, M.; Masta, A. A. & Gunawan, H.: , 2017; Generalized hölder’s inequality on morrey spaces. | |
| dc.relation.references | James, B.: , 1983; Baseball Abstract. | |
| dc.relation.references | Lewis, M.: , 2003; Moneyball: The Art of Winning an Unfair Game; W. W. Norton Company. | |
| dc.relation.references | Morrey, C. B.: , 1938; On the solutions of quasilinear elliptic partial differential equations; Trans. Am. Math. Soc.; 43: 126--166. | |
| dc.relation.references | Sawano, Y.: , 2018; A thought on generalized morrey spaces. | |
| dc.relation.references | Schwarz, A.: , 2004; The Numbers Game: Baseball’s Lifelong Fascination with Statistics; St. Martin’s Press. | |
| dc.relation.references | Sihwaningrum, I.; Maryani, S. & Gunawan, H.: , 2012; Weak type inequalities for fractional integral operators on generalized non- homogeneous morrey spaces; Analysis in Theory and Applications. | |
| dc.rights.accessrights | info:eu-repo/semantics/openAccess | |
| dc.rights.license | Reconocimiento 4.0 Internacional | |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
| dc.subject.ddc | 510 - Matemáticas::519 - Probabilidades y matemáticas aplicadas | |
| dc.subject.proposal | Sabermetrics | eng |
| dc.subject.proposal | Data science | eng |
| dc.subject.proposal | Generalized Morrey spaces | eng |
| dc.subject.proposal | Multiplication operator | eng |
| dc.subject.proposal | Sabermetría | spa |
| dc.subject.proposal | Análisis de datos | spa |
| dc.subject.proposal | Espacios de Morrey | spa |
| dc.subject.proposal | Operador multiplicación | spa |
| dc.subject.unesco | Matemáticas estadísticas | spa |
| dc.subject.unesco | Statistical mathematics | eng |
| dc.subject.unesco | Análisis cuantitativo | spa |
| dc.subject.unesco | Quantitative analysis | eng |
| dc.subject.unesco | Deporte | spa |
| dc.subject.unesco | Sport | eng |
| dc.title | The multiplication operator in (p,phi) Morrey spaces and its applications to sports data science | eng |
| dc.title.translated | El operador multiplicación en espacios generalizados (p,phi) de Morrey y sus aplicaciones a la ciencia de datos en el deporte | spa |
| dc.type | Trabajo de grado - Maestría | |
| dc.type.coar | http://purl.org/coar/resource_type/c_bdcc | |
| dc.type.coarversion | http://purl.org/coar/version/c_ab4af688f83e57aa | |
| dc.type.content | Text | |
| dc.type.driver | info:eu-repo/semantics/masterThesis | |
| dc.type.redcol | http://purl.org/redcol/resource_type/TM | |
| dc.type.version | info:eu-repo/semantics/acceptedVersion | |
| dcterms.audience.professionaldevelopment | Investigadores | |
| oaire.accessrights | http://purl.org/coar/access_right/c_abf2 |
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