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Calderón-Zygmund operaors on the Hardy spaces of weighted Herz type

✍ Scribed by Liu Weiquan; Lu Shanzhen

Publisher
Springer
Year
1997
Tongue
English
Weight
342 KB
Volume
13
Category
Article
ISSN
1573-8175

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Calderón–Zygmund operators on Herz type
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✍ Yasuo Komori 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 180 KB

We consider the boundedness of Calderón-Zygmund operators from H Kα,p q (R n ) to h Kα,p q (R n ), where H Kα,p q (R n ) is the Hardy space associated with the Herz space Kα,p q (R n ) and h Kα,p q (R n ) is the local version of H Kα,p q (R n ). We show Calderón's commutator is bounded from H Kα,p q

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