The wavelet characterization of the space Weak H¹

• Autorzy: Heping Liu
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 42C15: General harmonic expansions, frames
• 42B30: H p -spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1992
• Tom: 103
• Numer: 1
• Strony: 109-117

Daty

wydano

1992

otrzymano

1991-11-12

poprawiono

1992-03-27

Twórcy

autor

Heping Liu

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

Bibliografia

• [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 $H^p$ 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.