Artículo
Carando, D.; Pinasco, D.; Rodríguez, J.T. "Lower bounds for norms of products of polynomials on Lp spaces" (2013) Studia Mathematica. 214(2):157-166
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Abstract:
For 1 < p < 2 we obtain sharp lower bounds for the uniform norm of products of homogeneous polynomials on Lp(μ), whenever the number of factors is no greater than the dimension of these Banach spaces (a condition readily satisfied in infinite-dimensional settings). The result also holds for the Schatten classes Sp. For p > 2 we present some estimates on the constants involved. © Instytut Matematyczny PAN, 2013.
Registro:
| Documento: | Artículo |
| Título: | Lower bounds for norms of products of polynomials on Lp spaces |
| Autor: | Carando, D.; Pinasco, D.; Rodríguez, J.T. |
| Filiación: | Departamento de Matemática - Pab i, Facultad de Cs. Exactas y Naturales, Universidad de Buenos Aires, (1428) Buenos Aires, Argentina IMAS-CONICET, Argentina Departamento de Matemáticas y Estadística, Universidad Torcuato di Tella, Sáenz Valiente 1010, (1428) Buenos Aires, Argentina CONICET, Argentina |
| Palabras clave: | Factor problem; Homogeneous polynomials; Norm inequalities |
| Año: | 2013 |
| Volumen: | 214 |
| Número: | 2 |
| Página de inicio: | 157 |
| Página de fin: | 166 |
| DOI: | http://dx.doi.org/10.4064/sm214-2-4 |
| Título revista: | Studia Mathematica |
| Título revista abreviado: | Stud. Math. |
| ISSN: | 00393223 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00393223_v214_n2_p157_Carando |
Referencias:
- Arias-De-Reyna, J., Gaussian variables, polynomials and permanents (1998) Linear Algebra Appl., 285, pp. 107-114
- Benítez, C., Sarantopoulos, Y., Tonge, A., Lower bounds for norms of products of polynomials (1998) Math. Proc. Cambridge Philos. Soc., 124, pp. 395-408
- Lewis, D.R., Finite dimensional subspaces of Lp (1978) Studia Math., 63, pp. 207-212
- Pinasco, D., Lower bounds for norms of products of polynomials via Bombieri inequality (2012) Trans. Amer. Math. Soc., 364, pp. 3993-4010
- Pisier, G., Factorization of linear operators and geometry of Banach spaces (1986) CBMS Reg. Conf. Ser. Math., 60. , Amer. Math. Soc
- Révész, S.G., Sarantopoulos, Y., Plank problems, polarization and Chebyshev constants (2004) J. Korean Math. Soc., 41, pp. 157-174. , Satellite Conference on Infinite Dimensional Function Theory
- Ryan, R., Turett, B., Geometry of spaces of polynomials (1998) J. Math. Anal. Appl., 221, pp. 698-711
- Tomczak-Jaegermann, N., Finite-dimensional subspaces of uniformly convex and uniformly smooth Banach lattices and trace classes Sp (1980) Studia Math., 66, pp. 261-281
Citas:
---------- APA ----------
Carando, D., Pinasco, D. & Rodríguez, J.T. (2013) . Lower bounds for norms of products of polynomials on Lp spaces. Studia Mathematica, 214(2), 157-166.http://dx.doi.org/10.4064/sm214-2-4
---------- CHICAGO ----------
Carando, D., Pinasco, D., Rodríguez, J.T. "Lower bounds for norms of products of polynomials on Lp spaces" . Studia Mathematica 214, no. 2 (2013) : 157-166.http://dx.doi.org/10.4064/sm214-2-4
---------- MLA ----------
Carando, D., Pinasco, D., Rodríguez, J.T. "Lower bounds for norms of products of polynomials on Lp spaces" . Studia Mathematica, vol. 214, no. 2, 2013, pp. 157-166.http://dx.doi.org/10.4064/sm214-2-4
---------- VANCOUVER ----------
Carando, D., Pinasco, D., Rodríguez, J.T. Lower bounds for norms of products of polynomials on Lp spaces. Stud. Math. 2013;214(2):157-166.http://dx.doi.org/10.4064/sm214-2-4
