Brushlet characterization of the Hardy space H1(R) and the space BMO.

Borup, Lasse. "Brushlet characterization of the Hardy space H1(R) and the space BMO.." Collectanea Mathematica 56.2 (2005): 157-179. <http://eudml.org/doc/41827>.

@article{Borup2005,
abstract = {A typical wavelet system constitutes an unconditional basis for various function spaces -Lebesgue, Besov, Triebel-Lizorkin, Hardy, BMO. One of the main reasons is the frequency localization of an element from such a basis. In this paper we study a wavelet-type system, called a brushlet system. In [3] it was noticed that brushlets constitute unconditional bases for classical function spaces such as the Triebel-Lizorkin and Besov spaces. In this paper we study brushlet expansions of functions in the Hardy space H1(R) and the space of functions of bounded mean oscillations. We will see that for these spaces we still have a clear similarity between a brushlet and a wavelet expansion.},
author = {Borup, Lasse},
journal = {Collectanea Mathematica},
keywords = {Espacios de Hardy; Funciones de oscilación media acotada; Ondículas; Desarrollo en serie de funciones; wavelet-type system; Hardy space; ; brushlet system},
language = {eng},
number = {2},
pages = {157-179},
title = {Brushlet characterization of the Hardy space H1(R) and the space BMO.},
url = {http://eudml.org/doc/41827},
volume = {56},
year = {2005},
}

TY - JOUR
AU - Borup, Lasse
TI - Brushlet characterization of the Hardy space H1(R) and the space BMO.
JO - Collectanea Mathematica
PY - 2005
VL - 56
IS - 2
SP - 157
EP - 179
AB - A typical wavelet system constitutes an unconditional basis for various function spaces -Lebesgue, Besov, Triebel-Lizorkin, Hardy, BMO. One of the main reasons is the frequency localization of an element from such a basis. In this paper we study a wavelet-type system, called a brushlet system. In [3] it was noticed that brushlets constitute unconditional bases for classical function spaces such as the Triebel-Lizorkin and Besov spaces. In this paper we study brushlet expansions of functions in the Hardy space H1(R) and the space of functions of bounded mean oscillations. We will see that for these spaces we still have a clear similarity between a brushlet and a wavelet expansion.
LA - eng
KW - Espacios de Hardy; Funciones de oscilación media acotada; Ondículas; Desarrollo en serie de funciones; wavelet-type system; Hardy space; ; brushlet system
UR - http://eudml.org/doc/41827
ER -