A wavelet characterization for weighted Hardy spaces.

Wu, Si Jue. "A wavelet characterization for weighted Hardy spaces.." Revista Matemática Iberoamericana 8.3 (1992): 329-349. <http://eudml.org/doc/39433>.

@article{Wu1992,
abstract = {In this article we give a wavelet area integral characterization for weighted Hardy spaces Hp(ω), 0 &lt; p &lt; ∞, with ω ∈ A∞. Our wavelet characterization establishes the identification between Hp(ω) and T2p (ω), the weighted discrete tent space, for 0 &lt; p &lt; ∞ and ω ∈ A∞. This allows us to use all the results of tent spaces for weighted Hardy spaces. In particular, we obtain the isomorphism between Hp(ω) and the dual space of Hp'(ω), where 1&lt; p &lt; ∞ and 1/p + 1/p' = 1, and the wavelet and the Carleson measure characterizations of BMOω. Moreover, we obtain interpolation between A∞-weighted Hardy spaces Hp1(ω) and Hp2(ω), 1 ≤ p1 &lt; p2 &lt; ∞.},
author = {Wu, Si Jue},
journal = {Revista Matemática Iberoamericana},
keywords = {Ondículas; Espacios de Hardy; Teoría de pesos; Funciones integrales; BMO; wavelet area integral characterization for weighted Hardy spaces; weighted discrete tent space; Carleson measure; interpolation},
language = {eng},
number = {3},
pages = {329-349},
title = {A wavelet characterization for weighted Hardy spaces.},
url = {http://eudml.org/doc/39433},
volume = {8},
year = {1992},
}

TY - JOUR
AU - Wu, Si Jue
TI - A wavelet characterization for weighted Hardy spaces.
JO - Revista Matemática Iberoamericana
PY - 1992
VL - 8
IS - 3
SP - 329
EP - 349
AB - In this article we give a wavelet area integral characterization for weighted Hardy spaces Hp(ω), 0 &lt; p &lt; ∞, with ω ∈ A∞. Our wavelet characterization establishes the identification between Hp(ω) and T2p (ω), the weighted discrete tent space, for 0 &lt; p &lt; ∞ and ω ∈ A∞. This allows us to use all the results of tent spaces for weighted Hardy spaces. In particular, we obtain the isomorphism between Hp(ω) and the dual space of Hp'(ω), where 1&lt; p &lt; ∞ and 1/p + 1/p' = 1, and the wavelet and the Carleson measure characterizations of BMOω. Moreover, we obtain interpolation between A∞-weighted Hardy spaces Hp1(ω) and Hp2(ω), 1 ≤ p1 &lt; p2 &lt; ∞.
LA - eng
KW - Ondículas; Espacios de Hardy; Teoría de pesos; Funciones integrales; BMO; wavelet area integral characterization for weighted Hardy spaces; weighted discrete tent space; Carleson measure; interpolation
UR - http://eudml.org/doc/39433
ER -