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ArticleOriginal scientific text

Title

The wavelet characterization of the space Weak H¹

Authors 1

Affiliations

  1. Department of Mathematics and Institute of Mathematics, Peking University, Beijing 100871, People's Republic of China

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.

Bibliography

  1. R. Coifman et Y. Meyer, Ondelettes, opérateurs et analyse non-linéaire, Hermann, 1989.
  2. I. Daubechies, Orthonormal bases of compactly supported wavelets, Comm. Pure Appl. Math. 41 (1988), 909-996.
  3. R. Fefferman and F. Soria, The space Weak H¹, Studia Math. 85 (1987), 1-16.
  4. H. Liu, The weak Hp spaces on homogeneous groups, in: Lecture Notes in Math. 1494, Springer, 1991, 113-118.
  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.
Studia Mathematica
1992/103/1
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Pages:
109-117
Main language of publication
English
Received
1991-11-12
Accepted
1992-03-27
Published
1992
Exact and natural sciences