Boundedness of multilinear operators on Herz type spaces: extreme cases
Multilinear singular and fractional operators have been an important topic in modern harmonic analysis. In this paper, the authors investigate two classes of closely related multilinear singular and fractional integrals which include the commutators as special cases. They prove boundedness of these operators on some Herz type spaces and also show that the operators are not bounded in certain extreme cases.
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