Numeros de entropia de conjuntos de funções suaves sobre a esfera S POT. d / Entropy numbers of sets of smooth functions on the sphere S POT. d

AUTOR(ES)

Juliana Gaiba Oliveira

DATA DE PUBLICAÇÃO

2009

RESUMO

The entropy theory was introduced by Kolmogorov around 1930. Since then, many works aims to find estimates for entropy numbers of certain classes of sets. The main objective of this work is to study two theorems that establishes upper and lower estimates for entropy numbers of generic multiplier operators. To prove these theorems, we utilize some results on Levy means estimates for a special class of norms. Another objective is to study applications of above theorems in obtaining estimates for entropy numbers of sets of finitely and infinitely smooth functions on the d-dimensional sphere, associated with generic multiplier operatores. Some of these estimates are asymptotically sharp in terms of order and the constants that determines the order of these estimates are explicit determined

ASSUNTO(S)

harmonic analysis entropia approximation theory entropy multiplicadores (analise matematica) teoria da aproximação multipliers (mathematics analysis) analise harmonica

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