Equivalent norms in polynomial spaces and applications.

Araujo, G.Jiménez Rodríguez, P.Muñoz-Fernández, Gustavo A.Seoane Sepúlveda, Juan Benigno2023-06-172023-06-1720170022-247X10.1016/j.jmaa.2016.03.039https://hdl.handle.net/20.500.14352/17552In 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, 2 < p <= infinity. We also provide lower estimates for the Hardy-Littlewood constants for polynomials of higher degrees.engEquivalent norms in polynomial spaces and applications.journal articlehttp://www.sciencedirect.com/science/article/pii/S0022247X16002687#http://www.sciencedirect.com/restricted access517.98NormsAbsolutely slimming operatorsBohnenblust-Hille inequalityHardy-Littlewood inequalityAnálisis funcional y teoría de operadores