## Abstract In this paper, we prove the __L^p^__ (β^__n__^ ) boundedness for higher commutators of singular integrals with rough kernels belonging to certain block spaces provided that 1 < __p__ < β (Β© 2009 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)
The boundedness for commutators of a class of maximal hypersingular integrals with variable kernels
β Scribed by Yanping Chen; Yong Ding; Ran Li
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 345 KB
- Volume
- 74
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
## Abstract This paper is devoted to the study of the __L^p^__ βmapping 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__ (β^__n__^ ) function __a__ (__x__ ) and a
The first major study of p-groups of maximal class was made by Blackburn in 1958. He showed that an important invariant of these groups is the 'degree of commutativity.' Recently (1995) FernΓ‘ndez-Alcober proved a best possible inequality for the degree of commutativity in terms of the order of the g