Publication: On the polynomial Hardy-Littlewood inequality
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2015
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Birkhauser Verlag
Abstract
We investigate the behavior of the constants of the polynomial Hardy-Littlewood inequality.
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[1] N. Albuquerque, F. Bayart, D. Pellegrino and J. B. Seoane-Sepulveda, Sharp generalizations of the ultilinear Bohnenblust–Hille inequality,J. Funct. Anal., 266 (2014), 3726–3740.
[2] N. Albuquerque, F. Bayart, D. Pellegrino and J. B. Seoane-Sep´ulveda, Optimal Hardy-Littlewood type nequalities for polynomials and multilinear operators, arXiv:1311.3177 [math.FA], 7Fev2014.
[3] G. Araujo, D. Pellegrino and D. da Silva e Silva, On the upper bounds for the constants of the Hardy-ittlewood arXiv:1405.5849 [math.FA], 22May2014.
[4] F. Bayart. Hardy spaces of Dirichlet series and their composition operators. Monatsh. Math., 136(3):203-236,2002.
[5] F. Bayart, D. Pellegrino and J. B. Seoane-Sepulveda, The Bohr radius of the n-dimensional polydisk is equivalent to p(log n)/n, arXiv:1310.2834v2 [math.FA], 15Oct2013.
[6] H. F. Bohnenblust and E. Hille, On the absolute convergence of Dirichlet series, Ann. of Math. 32 (1931),600–622.
[7] J. R. Campos, P. Jimenez-Rodrıguez, G. A. Muñoz-Fernandez, D. Pellegrino, J. B. Seoane-Sepulveda, On he real polynomial Bohnenblust–Hille inequality.
[8] A. Defant, J.C. Diaz, D. Garcia, M. Maestre, inconditional basis and Gordon-Lewis constants for spaces of polynomials, J. Funct. Anal. 181 (2001), 119–145.
[9] A. Defant, L. Frerick, J. Ortega-Cerda, M. Ounaıes, K. Seip, The Bohnenblust-Hille inequality for homogeneous polynomials is hypercontractive, Ann. of Math. (2), 174 (2011), 485–497.
[10] V. Dimant and P. Sevilla–Peris, Summation of coefficients of polynomials on ℓp spaces, Xiv:1309.6063v1 [math.FA].
[11] G. Hardy and J. E. Littlewood, Bilinear forms ounded in space [p, q], Quart. J. Math. 5 (1934), 241–254.
[12] L. A. Harris. Bounds on the derivatives of lomorphic functions of vectors. Colloque D’Analyse, Rio de Janeiro, 1972, ed. L. Nachbin, Act. Sc. et Ind. 1367, 145-163, Herman, Paris, 1975.
[13] G. A. Muñoz-Fernandez, Y. Sarantopoulos, A. Tonge, Complexifications of real Banach spaces, polynomials and multilinear maps, Studia Math. 134 (1999), 1–33.
[14] T. Praciano–Pereira, On bounded multilinear forms on a class of ℓp spaces. J. Math. Anal. Appl. 81 (1981),561–568.
[15] Y. Sarantopoulos. Estimates for polynomial norms on Lp(μ)-spaces. Math. Proc. Camb. Phil. Soc. 99(1986),263-271.