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Generalized commutators for Marcinkiewicz type integrals with variable kernels

✍ Scribed by Hui-xia Mo; Shan-zhen Lu


Publisher
Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2011
Tongue
English
Weight
244 KB
Volume
27
Category
Article
ISSN
0168-9673

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## Abstract This paper is devoted to the study of the __L^p^__ ‐mapping properties of the higher order commutators __ΞΌ__ ^__k__^ ~Ξ©,__a__~ , __ΞΌ__ ^\*,__k__^ ~Ξ©,__Ξ»__ ,__a__~ and __ΞΌ__ ^__k__^ ~Ξ©,__S__ ,__a__~ , which are formed respectively by a __BMO__ (ℝ^__n__^ ) function __a__ (__x__ ) and a