✦ LIBER ✦

Calderón–Zygmund operators with operator-valued kernel on homogeneous Besov spaces

✍ Scribed by Cornelia Kaiser

Publisher: John Wiley and Sons
Year: 2009
Tongue: English
Weight: 217 KB
Volume: 282
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200610722

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

We consider generalized Calderón–Zygmund operators whose kernel takes values in the space of all continuous linear operators between two Banach spaces. In the spirit of the T (1) theorem of David and Journé we prove boundedness results for such operators on vector‐valued Besov spaces. (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

📜 SIMILAR VOLUMES

Calderón – Zygmund Operators on Weighted

Calderón – Zygmund Operators on Weighted Weak Hardy Spaces in Locally Compact Vilenkin Groups

✍ Tong Seng Quek; Dachun Yang 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 251 KB 👁 1 views

Weak type estimates for Calderón-Zygmund

Weak type estimates for Calderón-Zygmund operators on Herz spaces at critical indexes

✍ Yasuo Komori 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 135 KB

## Abstract We define weak Herz spaces $ \dot K ^{\alpha , p, \infty} \_{q} $(ℝ^__n__^) which are the weak version of the ordinary Herz spaces $ \dot K ^{\alpha , p} \_{q} $(ℝ^__n__^). We consider the boundedness of Calderón‐Zygmund operators from $ \dot K ^{\alpha , p} \_{q} $ to $ \dot K ^{\alpha