Vector-valued wavelets and the Hardy space H¹(ℝⁿ,X)

Tuomas Hytönen. "Vector-valued wavelets and the Hardy space H¹(ℝⁿ,X)." Studia Mathematica 172.2 (2006): 125-147. <http://eudml.org/doc/286376>.

@article{TuomasHytönen2006,
abstract = {We prove an analogue of Y. Meyer's wavelet characterization of the Hardy space H¹(ℝⁿ) for the space H¹(ℝⁿ,X) of X-valued functions. Here X is a Banach space with the UMD property. The proof uses results of T. Figiel on generalized Calderón-Zygmund operators on Bochner spaces and some new local estimates.},
author = {Tuomas Hytönen},
journal = {Studia Mathematica},
keywords = {Hardy space; wavelet basis; atomic decomposition; generalized Calderón-Zygmund operators; UMD space},
language = {eng},
number = {2},
pages = {125-147},
title = {Vector-valued wavelets and the Hardy space H¹(ℝⁿ,X)},
url = {http://eudml.org/doc/286376},
volume = {172},
year = {2006},
}

TY - JOUR
AU - Tuomas Hytönen
TI - Vector-valued wavelets and the Hardy space H¹(ℝⁿ,X)
JO - Studia Mathematica
PY - 2006
VL - 172
IS - 2
SP - 125
EP - 147
AB - We prove an analogue of Y. Meyer's wavelet characterization of the Hardy space H¹(ℝⁿ) for the space H¹(ℝⁿ,X) of X-valued functions. Here X is a Banach space with the UMD property. The proof uses results of T. Figiel on generalized Calderón-Zygmund operators on Bochner spaces and some new local estimates.
LA - eng
KW - Hardy space; wavelet basis; atomic decomposition; generalized Calderón-Zygmund operators; UMD space
UR - http://eudml.org/doc/286376
ER -