Artículo
Carando, D.; Pinasco, D.; Rodríguez, J.T. "Non-linear plank problems and polynomial inequalities" (2017) Revista Matematica Complutense. 30(3):507-523
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Abstract:
We study lower bounds for the norm of the product of polynomials and their applications to the so called plank problem. We are particularly interested in polynomials on finite dimensional Banach spaces, in which case our results improve previous works for large numbers of polynomials. © 2017, Universidad Complutense de Madrid.
Registro:
| Documento: | Artículo |
| Título: | Non-linear plank problems and polynomial inequalities |
| Autor: | Carando, D.; Pinasco, D.; Rodríguez, J.T. |
| Filiación: | Departamento de Matemática - Pab I, Facultad de Cs. Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, 1428, Argentina IMAS-CONICET, Buenos Aires, Argentina Departamento de Matemáticas y Estadística, Universidad Torcuato Di Tella, Av. Figueroa Alcorta 7350, Buenos Aires, 1428, Argentina CONICET, Buenos Aires, Argentina Departamento de Matemática, Facultad de Cs. Exactas, Universidad Nacional Del Centro de la Provincia de Buenos Aires, Tandil, 7000, Argentina NUCOMPA-CONICET, Tandil, Argentina |
| Palabras clave: | Inequalities; Plank problem; Polynomials |
| Año: | 2017 |
| Volumen: | 30 |
| Número: | 3 |
| Página de inicio: | 507 |
| Página de fin: | 523 |
| DOI: | http://dx.doi.org/10.1007/s13163-017-0220-y |
| Título revista: | Revista Matematica Complutense |
| Título revista abreviado: | Rev. Mat. Complutense |
| ISSN: | 11391138 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11391138_v30_n3_p507_Carando |
Referencias:
- Arias-de-Reyna, J., Gaussian variables, polynomials and permanents (1998) Linear Algebra Appl., 285, pp. 107-114
- Ball, K.M., The plank problem for symmetric bodies (1991) Invent. Math., 104, pp. 535-543
- Ball, K.M., The complex plank problem (2001) Bull. London Math. Soc., 33, pp. 433-442
- Bang, T., A solution of the plank problem (1951) Proc. Am. Math. Soc., 2, pp. 990-993
- Beauzamy, B., Bombieri, E., Enflo, P., Montgomery, H.L., Products of polynomials in many variables (1990) J. Number Theory, 36 (2), pp. 219-245
- Benítez, C., Sarantopoulos, Y., Tonge, A., Lower bounds for norms of products of polynomials (1998) Math. Proc. Camb. Philos. Soc., 124 (3), pp. 395-408
- Boyd, C., Ryan, R., The norm of the product of polynomials in infinite dimensions (2006) Proc. Edinb. Math. Soc. (Ser. 2), 49 (1), pp. 17-28
- Brudnyi, Y., Ganzburg, M., On an extremal problem for polynomials of n variables (1973) Math. USSR-Izv., 37, pp. 344-355
- Carando, D., Pinasco, D., Rodríguez, J.T., Lower bounds for norms of products of polynomials on Lp spaces (2013) Studia Math., 214, pp. 157-166
- Kavadjiklis, A., Kim, S.G., Plank type problems for polynomials on Banach spaces (2012) J. Math. Anal. Appl., 396 (2), pp. 528-535
- Malicet, D., Nourdin, I., Peccati, G., Poly, G., Squared chaotic random variables: new moment inequalities with applications (2016) J. Funct. Anal., 270 (2), pp. 649-670
- Pappas, A., Révész, S.G., Linear polarization constants of Hilbert spaces (2004) J. Math. Anal. Appl., 300 (1), pp. 129-146
- Pinasco, D., Lower bounds for norms of products of polynomials via Bombieri inequality (2012) Trans. Am. Math. Soc., 364, pp. 3993-4010
- Révész, S.G., Sarantopoulos, Y., Plank problems, polarization and Chebyshev constants. Satellite conference on infinite dimensional function theory (2004) J. Korean Math. Soc., 41 (1), pp. 157-174
- Rodríguez, J.T., On the norm of products of polynomials on ultraproduct of Banach spaces (2015) J. Math. Anal. Appl., 421 (2), pp. 805-816
- Rodríguez, J.T., Desigualdades polinomiales en espacios de Banach. Ph.D.Thesis, Universidad de (2016) Buenos Aires
- Tarski, A., O stopniu równowa o ˙ ności wieloka̧tów. (English: On the degree of equivalence of polygons) (1931) Młody Matematyk, 1, pp. 37-44
- Tarski, A., Uwagi o stopniu równowa o ˙ ności wieloka̧tów. (English: Remarks on the degree of equivalence of polygons) (1932) Parametr, 2, pp. 310-314
Citas:
---------- APA ----------
Carando, D., Pinasco, D. & Rodríguez, J.T. (2017) . Non-linear plank problems and polynomial inequalities. Revista Matematica Complutense, 30(3), 507-523.http://dx.doi.org/10.1007/s13163-017-0220-y
---------- CHICAGO ----------
Carando, D., Pinasco, D., Rodríguez, J.T. "Non-linear plank problems and polynomial inequalities" . Revista Matematica Complutense 30, no. 3 (2017) : 507-523.http://dx.doi.org/10.1007/s13163-017-0220-y
---------- MLA ----------
Carando, D., Pinasco, D., Rodríguez, J.T. "Non-linear plank problems and polynomial inequalities" . Revista Matematica Complutense, vol. 30, no. 3, 2017, pp. 507-523.http://dx.doi.org/10.1007/s13163-017-0220-y
---------- VANCOUVER ----------
Carando, D., Pinasco, D., Rodríguez, J.T. Non-linear plank problems and polynomial inequalities. Rev. Mat. Complutense. 2017;30(3):507-523.http://dx.doi.org/10.1007/s13163-017-0220-y
