The wavelet characterization of the space Weak H¹

Heping Liu

Studia Mathematica (1992)

  • Volume: 103, Issue: 1, page 109-117
  • ISSN: 0039-3223

Abstract

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The space Weak H¹ was introduced and investigated by Fefferman and Soria. In this paper we characterize it in terms of wavelets. Equivalence of four conditions is proved.

How to cite

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Liu, Heping. "The wavelet characterization of the space Weak H¹." Studia Mathematica 103.1 (1992): 109-117. <http://eudml.org/doc/215930>.

@article{Liu1992,
abstract = {The space Weak H¹ was introduced and investigated by Fefferman and Soria. In this paper we characterize it in terms of wavelets. Equivalence of four conditions is proved.},
author = {Liu, Heping},
journal = {Studia Mathematica},
keywords = {wavelet characterization; Weak },
language = {eng},
number = {1},
pages = {109-117},
title = {The wavelet characterization of the space Weak H¹},
url = {http://eudml.org/doc/215930},
volume = {103},
year = {1992},
}

TY - JOUR
AU - Liu, Heping
TI - The wavelet characterization of the space Weak H¹
JO - Studia Mathematica
PY - 1992
VL - 103
IS - 1
SP - 109
EP - 117
AB - The space Weak H¹ was introduced and investigated by Fefferman and Soria. In this paper we characterize it in terms of wavelets. Equivalence of four conditions is proved.
LA - eng
KW - wavelet characterization; Weak
UR - http://eudml.org/doc/215930
ER -

References

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  1. [1] R. Coifman et Y. Meyer, Ondelettes, opérateurs et analyse non-linéaire, Hermann, 1989. 
  2. [2] I. Daubechies, Orthonormal bases of compactly supported wavelets, Comm. Pure Appl. Math. 41 (1988), 909-996. Zbl0644.42026
  3. [3] R. Fefferman and F. Soria, The space Weak H¹, Studia Math. 85 (1987), 1-16. Zbl0626.42013
  4. [4] H. Liu, The weak H p spaces on homogeneous groups, in: Lecture Notes in Math. 1494, Springer, 1991, 113-118. 
  5. [5] E. M. Stein, M. Taibleson and G. Weiss, Weak type estimates for maximal operators on certain H¹ spaces, Rend. Circ. Mat. Palermo Suppl. 1 (1981), 81-92. Zbl0503.42018

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