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A Remark on Multilinear Singular Integrals with Rough Kernels

✍ Scribed by Yibiao Pan; Qiang Wu; Dachun Yang


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
103 KB
Volume
253
Category
Article
ISSN
0022-247X

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We study a class of operators on nilpotent Lie groups G given by convolution with flag kernels. These are special kinds of product-type distributions whose singularities are supported on an increasing subspace (0 We show that product kernels can be written as finite sums of flag kernels, that flag

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## 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__ < ∞ (Β© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)