Geodesic
Lower bounds for norms of products of polynomials on $L_p$ spaces
Daniel Carando 1   ; Damián Pinasco 2   ; Jorge Tomás Rodríguez 3
1 Departamento de Matemática – Pab I Facultad de Cs. Exactas y Naturales Universidad de Buenos Aires (1428) Buenos Aires, Argentina and IMAS-CONICET
2 Departamento de Matemáticas y Estadística Universidad Torcuato Di Tella Sáenz Valiente 1010 (1428) Buenos Aires, Argentina and CONICET
3 IMAS-CONICET
Studia Mathematica, Tome 214 (2013) no. 2, pp. 157-166 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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For $1 p 2$ we obtain sharp lower bounds for the uniform norm of products of homogeneous polynomials on $L_p(\mu )$, 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 $\mathcal S_p$. For $p>2$ we present some estimates on the constants involved.
DOI : 10.4064/sm214-2-4
Keywords: obtain sharp lower bounds uniform norm products homogeneous polynomials whenever number factors greater dimension these banach spaces condition readily satisfied infinite dimensional settings result holds schatten classes mathcal present estimates constants involved

Daniel Carando  1   ; Damián Pinasco  2   ; Jorge Tomás Rodríguez  3

1 Departamento de Matemática – Pab I Facultad de Cs. Exactas y Naturales Universidad de Buenos Aires (1428) Buenos Aires, Argentina and IMAS-CONICET
2 Departamento de Matemáticas y Estadística Universidad Torcuato Di Tella Sáenz Valiente 1010 (1428) Buenos Aires, Argentina and CONICET
3 IMAS-CONICET 
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     title = {Lower bounds for norms of products of polynomials
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Daniel Carando; Damián Pinasco; Jorge Tomás Rodríguez. Lower bounds for norms of products of polynomials
 on $L_p$ spaces. Studia Mathematica, Tome 214 (2013) no. 2, pp. 157-166. doi: 10.4064/sm214-2-4

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