References
- Littlewood JE . On bounded bilinear forms in an infinite number of variables. Q J Math Oxford. 1930;1:164–174.
- Diniz D , Muñoz-Fernández GA , Pellegrino D , et al . Lower bounds for the constants in the Bohnenblust-Hille inequality: the case of real scalars. Proc Am Math Soc. 2014;132:575–580.
- Bohnenblust HF , Hille E . On the absolute convergence of Dirichlet series. Ann Math (2). 1931;32:600–622.
- Defant A , Sevilla-Peris P . The Bohnenblust-Hille cycle of ideas from a modern point of view. Funct Approx Comment Math. 2014;50(1):55–127.
- Bayart F , Pellegrino D , Seoane-Sepúlveda JB . The Bohr radius of the n-dimensional polydisc is equivalent to √(log n)/n. Adv Math. 2014;264:726–746.
- Nuñez-Alarcón D . A note on the polynomial Bohnenblust-Hille inequality. J Math Anal Appl. 2013;407(1):179–181.
- Praciano-Pereira T . On bounded multilinear forms on a class of lp spaces. J Math Anal Appl. 1981;81:561–568.
- Serrano-Rodríguez DM . Improving the closed formula for subpolynomial constants in the multilinear Bohnenblust-Hille inequalities. Linear Algebra Appl. 2013;438(7):3124–3138.
- Albuquerque N , Araújo G , Nunez-Alarcon D , et al . Bohnenblust-Hille and Hardy-Littlewood inequalities by blocks. 2014. arXiv:1409.6769v6 [math.FA].
- Araújo G , Pellegrino D . Optimal Hardy-Littlewood type inequalities for m-linear forms on lp spaces with 1≤p≤m. Arch Math (Basel). 2015;105:285–295.
- Matos MC . Fully absolutely summing mappings and Hilbert Schmidt operators. Collect Math. 2003;54:111–136.
- Pérez-García D . Operadores multilineales absolutamente sumantes [PhD Thesis]. Universidad Complutense de Madrid; 2003.
- Diestel J , Jarchow H , Tonge A . Absolutely summing operators. Cambridge: Cambridge University Press; 1995.
- Popa D . A new distinguishing feature for summing, vs. dominated and multiple summing operators. Arch Math (Basel). 2011;96:455–462.
- Popa D . Multiple summing, dominated and summing operators on a product of l1 spaces. Positivity. 2014;18(4):751–765.
- Popa D . Remarks on multiple summing operators on C(Ω)-spaces. Positivity. 2014;18:29–39.
- Botelho G , Pellegrino D . Coincidence situations for absolutely summing non-linear mappings. Port Math. 2007;64:175–191.
- Dimant V . Strongly p-summing multilinear operators. J Math Anal Appl. 2003;278(1):182–193.
- Pérez-García D . Comparing different classes of absolutely summing multilinear operators. Arch Math (Basel). 2005;85:258–267.
- Pellegrino D , Rueda P , Sánchez-Pérez EA . Surveying the spirit of absolute summability on multilinear operators and homogeneous polynomials. Rev R Acad Cienc Exactas Fs Nat Ser A Math RACSAM. 2016;110(1):285–302.
- Rueda P , Sánchez-Pérez EA . Factorization of p-dominated polynomials through Lp -spaces. Michigan Math J. 2014;63(2):345–353.
- Serrano-Rodríguez DM . Absolutely γ-summing multilinear operators. Linear Algebra Appl. 2013;439(12):4110–4118.
- Aron R , Lacruz M , Ryan R , et al . The generalized Rademacher functions. Note Mat. 1992;12:15–25.
- Popa D . Multilinear variants of Pietsch’s composition theorem. J Math Anal Appl. 2010;370:415–430.
- Ryan R . Introduction to tensor products of Banach spaces. Springer-Verlag London Limited; 2002.
- Bombal F , Pérez-García D , Villanueva I . Multilinear extensions of Grothendiecks theorem. Q J Math. 2004;55(4):441–450.
- Alencar R , Matos MC . Some classes of multilinear mappings between Banach spaces. Publicaciones del Departamento de Análisis Matemático de la U.C.M., Sec. 1, No. 12. Madrid; 1989.
- Araújo G , Pellegrino D . Optimal estimates for summing multilinear operators. Linear Multilinear Algebra. 2017;65(5):930–942.
- Dimant V , Sevilla-Peris P . Summation of coefficients of polynomials on lp spaces. Publ Mat. 2016;60:289–310.
- Hardy G , Littlewood JE . Bilinear forms bounded in space [p,q]. Q J Math. 1934;5:241–254.