6533b830fe1ef96bd1297282

RESEARCH PRODUCT

Factorization of absolutely continuous polynomials

Pilar RuedaElhadj DahiaE. A. Sánchez PérezDahmane Achour

subject

Discrete mathematicsMathematics::Commutative AlgebraPietsch's domination theoremApplied MathematicsDiscrete orthogonal polynomialsClassical orthogonal polynomialsMacdonald polynomialsDifference polynomialsAbsolutely continuous polynomialsFactorization of polynomialsHahn polynomialsWilson polynomialsOrthogonal polynomialsMATEMATICA APLICADAAnalysisMathematics

description

In this paper we study the ideal of dominated (p,s)-continuous polynomials, that extend the nowadays well known ideal of p-dominated polynomials to the more general setting of the interpolated ideals of polynomials. We give the polynomial version of Pietsch s factorization Theorem for this new ideal. Our factorization theorem requires new techniques inspired in the theory of Banach lattices.

yearjournalcountryeditionlanguage
2013-09-01Journal of Mathematical Analysis and Applications
https://doi.org/10.1016/j.jmaa.2013.03.063