Cotype and absolutely summing homogeneous polynomials in ℒp spaces

Studia Mathematica

Volumn 157, Issue 2, 2003, Pages 121-131

  Pellegrino, Daniel ^a  

^a Departamento de Matemática   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0042412641     PISSN: 00393223     EISSN: None     Source Type: Journal    
DOI: 10.4064/sm157-2-2     Document Type: Article

References (12)

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3. _, Tipo e cotipo: Caracterização via funções de Rademacher generalizadas e con-tribuições á teoria de aplicações multilineares e polinômios homogêneos em espaças de Banach, doctoral thesis, UNICAMP, 1995.
4. J. Diestel, H. Jarchow and A. Tonge, Absolutely Summing Operators, Cambridge Stud. Adv. Math. 43, Cambridge Univ. Press, Cambridge, 1995.
5. K. Floret and M. C. Matos, Application of a Khinchine inequality to holomorphic mappings, Math. Nachr. 176 (1995), 65-72.
6. p spaces and their applications, Studia Math. 29 (1968), 275-326.
7. M. C. Matos, Absolutely summing holomorphic mappings, An. Acad. Brasil. Ciênc. 68 (1996), 1-13.
8. B. Maurey et G. Pisier, Séries de variables aléatoires vectorielles indépendantes et proprietés géométriques des espaces de Banach, Studia Math. 58 (1976), 45-90.
9. Y. Meléndez and A. Tonge, Polynomials and the Pietsch domination theorem, Proc. Roy. Irish Acad. Sect. A 99 (1999), 195-212.
10. D. Pellegrino, Cotype and nonlinear absolutely summing mappings, preprint.
11. D. Pérez-García, Operadores multilineales absolutamente sumantes, dissertation, Univ. Complut. Madrid, 2002.
12. A. Pietsch, Ideals of multilinear functionals (designs of a theory), in: Proc. 2nd Internat. Conf. on Operator Algebras, Ideals, and their Applications in Theoretical Physics (Leipzig, 1983), Teubner-Texte Math. 67, Teubner, Leipzig, 1984, 185-199.