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Lp (ℝn) boundedness for higher commutators of singular integrals with rough kernels belonging to certain block spaces

✍ Scribed by Yanyan Hou; Lin Tang

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
160 KB
Volume
282
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

In this paper, we prove the L^p^ (ℝ^n^ ) boundedness for higher commutators of singular integrals with rough kernels belonging to certain block spaces provided that 1 < p < ∞ (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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