𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Parametrized Area Integrals on Hardy Spaces and Weak Hardy Spaces

✍ Scribed by Yong Ding; Shan Zhen Lu; Qing Ying Xue

Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2007
Tongue
English
Weight
265 KB
Volume
23
Category
Article
ISSN
1439-7617

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Parametrized Littlewood–Paley operators
Parametrized Littlewood–Paley operators on Hardy and weak Hardy spaces
✍ Yong Ding; Shanzhen Lu; Qingying Xue 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 198 KB

## 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__, _

Generalized Area Operators on Hardy Spac
Generalized Area Operators on Hardy Spaces
✍ William S. Cohn 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 183 KB

We show that if 0p -ϱ then the operator Gf s H f z dr 1 y z ⌫Ž . p p Ž < <. maps the Hardy space H to L d if and only if is a Carleson measure. Ž . Here ⌫ is the usual nontangential approach region with vertex on the unit and d is arclength measure on the circle. We also show that if 0p F 1, ␤ ) 0

Marcinkiewicz integral on hardy spaces
Marcinkiewicz integral on hardy spaces
✍ Yong Ding; Shanzhen Lu; Quigying Xue 📂 Article 📅 2002 🏛 SP Birkhäuser Verlag Basel 🌐 English ⚖ 350 KB