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Araujo, G. ; Jiménez Rodríguez, P. ; Muñoz-Fernández, Gustavo A. ; Seoane-Sepúlveda, Juan B. | Elsevier | 2017In this paper, equivalence constants between various polynomial norms are calculated. As an application, we also obtain sharp values of the Hardy Littlewood constants for 2-homogeneous polynomials on l(p)(2) spaces, 2texto impreso
Alburquerque, N. ; Araujo, G. ; Pellegrino, D. ; Seoane-Sepúlveda, Juan B. | Belgian Mathematical Soc. Triomphe | 2017Holder's inequality, since its appearance in 1888, has played a fundamental role in Mathematical Analysis and may be considered a milestone in Mathematics. It may seem strange that, nowadays, it keeps resurfacing and bringing new insights to the[...]texto impreso
Araujo, G. ; Bernal-González, L. ; Muñoz-Fernández, Gustavo A. ; Prado-Bassas, J. A. ; Seoane-Sepúlveda, Juan B. | Polish Acad Sciencies Inst Mathematics | 2017We prove the existence of large algebraic structures - including large vector subspaces or infinitely generated free algebras - inside, among others, the family of Lebesgue measurable functions that are surjective in a strong sense, the family o[...]texto impreso
Araujo, G. ; Jiménez Rodríguez, P. ; Muñoz-Fernández, Gustavo A. ; Núñez Alarcón, D. ; Pellegrino, D. ; Seoane-Sepúlveda, Juan B. ; Serrano Rodríguez, D.M. | Springer | 2015-03We investigate the behavior of the constants of the polynomial Hardy-Littlewood inequality.texto impreso
Araujo, G. ; Jiménez Rodríguez, P. ; Muñoz-Fernández, Gustavo A. ; Nuñez-Alarcon, D. ; Pellagrino, D. ; Seoane-Sepúlveda, Juan B. ; Serrano-Rodriguez, D.M. | Birkhäuser Verlag | 2015We investigate the behavior of the constants of the polynomial Hardy-Littlewood inequality.texto impreso
Araujo, G. ; Jiménez Rodríguez, P. ; Muñoz-Fernández, Gustavo A. ; Seoane-Sepúlveda, Juan B. | Heldermann Verlag | 2017A number of sharp inequalities are proved for the space P (2D (?/4)) of 2-homogeneous polynomials on ?2 endowed with the supremum norm on the sector D (?/4) := {ei? : ? ? [0, ?/4]}. Among the main results we can find sharp Bernstein and Markov i[...]
