Lower bounds for norms of products of polynomials on $L_p$ spaces

Daniel Carando, Damián Pinasco, and Jorge Tomás Rodríguez. "Lower bounds for norms of products of polynomials on $L_{p}$ spaces." Studia Mathematica 214.2 (2013): 157-166. <http://eudml.org/doc/285530>.

@article{DanielCarando2013,
abstract = {For 1 < p < 2 we obtain sharp lower bounds for the uniform norm of products of homogeneous polynomials on $L_\{p\}(μ)$, 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 $_\{p\}$. For p > 2 we present some estimates on the constants involved.},
author = {Daniel Carando, Damián Pinasco, Jorge Tomás Rodríguez},
journal = {Studia Mathematica},
keywords = {homogeneous polynomials on spaces; homogeneous polynomials on Schatten classes; norm inequalities},
language = {eng},
number = {2},
pages = {157-166},
title = {Lower bounds for norms of products of polynomials on $L_\{p\}$ spaces},
url = {http://eudml.org/doc/285530},
volume = {214},
year = {2013},
}

TY - JOUR
AU - Daniel Carando
AU - Damián Pinasco
AU - Jorge Tomás Rodríguez
TI - Lower bounds for norms of products of polynomials on $L_{p}$ spaces
JO - Studia Mathematica
PY - 2013
VL - 214
IS - 2
SP - 157
EP - 166
AB - For 1 < p < 2 we obtain sharp lower bounds for the uniform norm of products of homogeneous polynomials on $L_{p}(μ)$, 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 $_{p}$. For p > 2 we present some estimates on the constants involved.
LA - eng
KW - homogeneous polynomials on spaces; homogeneous polynomials on Schatten classes; norm inequalities
UR - http://eudml.org/doc/285530
ER -