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Smooth and Nonsmooth Calderón-Zygmund Type Decompositions for Morrey Spaces

✍ Scribed by N. Kruglyak; E. A. Kuznetsov

Publisher: SP Birkhäuser Verlag Boston
Year: 2005
Tongue: English
Weight: 177 KB
Volume: 11
Category: Article
ISSN: 1069-5869
DOI: 10.1007/s00041-005-5032-7

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## 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