INVESTIGADORES
CARANDO Daniel German
artículos
Título:
Lower bounds for norms of products of polynomials on $L_p$ spaces
Autor/es:
DANIEL CARANDO; DAMIÁN PINASCO; JORGE TOMÁS RODRÍGUEZ
Revista:
STUDIA MATHEMATICA
Editorial:
POLISH ACAD SCIENCES INST MATHEMATICS
Referencias:
Lugar: VARSOVIA; Año: 2013 vol. 214 p. 157 - 166
ISSN:
0039-3223
Resumen:
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 the infinite dimensional settings). The results also holds for the Schatten classes $mathcal S_p$. For $p>2$ we present some estimates on the involved constants.
