Cobos, FernandoMartín, Joaquim2023-06-202023-06-202005[1] I. Asekritova, N. Krugljak, On equivalence of K- and J - methods for (n+1)-tuples of Banach spaces, Studia Math. 122 (1997) 99–116. [2] I. Asekritova, N. Krugljak, L. Maligranda, L. Nikolova, L.-E. Persson, Lions–Peetre reiteration formulas for triples and their applications, Studia Math. 145 (2001) 219–254. [3] C. Bennett, B. Sharpley, Interpolation of Operators, Academic Press, NewYork, 1988. [4] J. Bergh, J. Lofstrom, Interpolation Spaces. An Introduction, Springer, Berlin, 1976. [5] Y. Brudnyıˇ, N. Krugljak, Interpolation functors and interpolation spaces, vol. 1, North-Holland, Amsterdam, 1991. [6] M.J. Carro, L.I. Nikolova, J. Peetre, L.-E. Persson, Some real interpolation methods for families of Banach spaces: a comparison, J. Approx. Theory 89 (1997) 26–57. [7] M.J. Carro, J. Soria,Weighted Lorentz spaces and the Hardy operator, J. Funct. Anal. 112 (1993) 480–494. [8] J. Cerda, H. Coll, J. Martin, Entropy function spaces and interpolation, J. Math. Anal. Appl., accepted. [9] F. Cobos, P. Fernandez–Martinez, Reiteration and a Wolff theorem for interpolation methods defined by means of polygons, Studia Math. 102 (1992) 239–256. [10] F. Cobos, P. Fernandez–Martinez,A duality theorem for interpolation methods associated to polygons, Proc. Amer. Math. Soc. 121 (1994) 1093–1101. [11] F. Cobos, P. Fernandez–Martinez, A. Martinez, On reiteration and the behavior of weak compactness under certain interpolation methods, Collect. Math. 50 (1999) 53–72. [12] F. Cobos, P. Fernandez–Martinez, A. Martinez, Y. Raynaud, On duality between K- and J -spaces, Proc. Edinburgh Math. Soc. 42 (1999) 43–63. [13] F. Cobos, P. Fernandez-Martinez, T. Schonbek, Norm estimates for interpolation methods defined by means of polygons, J. Approx. Theory 80 (1995) 321–351. [14] F. Cobos, T. Kuhn, T. Schonbek, One-sided compactness results for Aronszajn–Gagliardo functors, J. Funct. Anal. 106 (1992) 274–313. [15] F. Cobos, J. Peetre, Interpolation of compact operators: the multidimensional case, Proc. London Math. Soc. 63 (1991) 371–400. [16] M. Cwikel, S. Janson, Real and complex interpolation methods for finite and infinite families of Banach spaces, Adv. Math. 66 (1987) 234–290. [17] S. Ericsson, Certain reiteration and equivalence results for the Cobos–Peetre polygon interpolation method, Math. Scand. 85 (1999) 301–319. [18] A. Favini, Su una estensione del metodo d’interpolazione complesso, Rend. Sem. Mat. Univ. Padova 47 (1972) 243–298. [19] D.L. Fernandez, Interpolation of 2n Banach spaces, Studia Math. 45 (1979) 175–201. [20] D.L. Fernandez, Interpolation of 2d Banach spaces and the Calderon space X(E), Proc. London Math. Soc. 56 (1988) 143–162. [21] C. Foia,s, J.L. Lions, Sur certains theoremes d’interpolation, Acta Sci. Math. (Szeged) 22 (1961) 269–282. [22] S.G. Kreıˇn, Ju.I. Petunin, E.M. Semenov, Interpolation of Linear Operators, American Mathematial Society of Providence, RI, 1982. [23] J. Lindenstrauss, L. Tzafriri, Classical Banach Spaces II, Springer, Verlag, Berlin, Heidelberg, New York, 1979. [24] G.G. Lorentz, On the theory of space _, Pacific J. Math. 1 (1951) 411–429. [25] M. Milman, On interpolation of 2n Banach spaces and Lorentz spaces with mixed norms, J. Funct. Anal. 41 (1981) 1–7. [26] G. Sparr, Interpolation of several Banach spaces, Ann. Math. Pura Appl. 99 (1982) 247–316. [27] H. Triebel, Interpolation Theory, Function Spaces, Differential Operators, North-Holland, Amsterdam, 1978. [28] A. Yoshikawa, Sur la theorie d’espaces d’interpolation—Les espaces de moyenne de plusieurs espaces de Banach, J. Fac. Sci. Univ. Tokyo 16 (1970) 407–468.1096-0430httpp:dx.doi.org/10.1016/j.jar.2004.12.002https://hdl.handle.net/20.500.14352/49885We describe the spaces obtained by applying the interpolation methods associated to polygons to N-tuples of weighted Lp-spaces, N-tuples of classical Lorentz spaces and some other N-tuples of function spaces.engOn Interpolation of Function Spaces by Methods Defined by Means of Polygonsjournal articlehttp://www.sciencedirect.com/science/article/pii/S0021904504002096http://www.sciencedirect.com/restricted access517.518.85Banach-SpacesLorentz SpacesReiterationEquivalenceFamiliesDualityTheoremRealInterpolation methods associated to polygonsweighted L-P-tuplesLorentz spacesinterpolation of function spacesAnálisis matemático1202 Análisis y Análisis Funcional