## Abstract Let (𝒳, __d__,__μ__) be a space of homogeneous type in the sense of Coifman and Weiss. Assuming that __μ__ satisfies certain estimates from below and there exists a suitable Calderón reproducing formula in __L__ ^2^(𝒳), the authors establish a Lusin‐area characterization for the atomic
ON S-HARDY–LITTLEWOOD HOMOGENEOUS SPACES
✍ Scribed by MORISHITA, MASANORI; WATANABE, TAKAO
- Book ID
- 121884989
- Publisher
- World Scientific Publishing Company
- Year
- 1998
- Tongue
- English
- Weight
- 888 KB
- Volume
- 09
- Category
- Article
- ISSN
- 0129-167X
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📜 SIMILAR VOLUMES
## Abstract In this paper, we give the boundedness of the parametrized Littlewood–Paley function $ \mu ^{\*,\rho}\_{\lambda} $ on the Hardy spaces and weak Hardy spaces. As the corollaries of the above results, we prove that $ \mu ^{\*,\rho}\_{\lambda} $ is of weak type (1, 1) and of type (__p__, _
## Abstract Let Φ(__t__) and Ψ(__t__) be the functions having the following representations Φ(__t__) = ∫__a__(__s__)__ds__ and Ψ(__t__) = ∫__b__(__s__) __ds__, where __a__(__s__) is a positive continuous function such that ∫__a__(__s__)/s ds = + ∞ and __b__(__s__) is an increasing function such tha