Abstract
Under the assumption that is a non-negative Radon measure on Rd which only satis es some growth condition, the authors proved the multilinear Calderon{ Zygmund operators are bounded fromMp1 q1 (k; ) Mpm qm(k; ) intoMp q (k; ) for some xed q1; : : : ; qm 2 (1;1) and 1=q = 1=q1+ +1=qm. Furthermore, the authors established the same bounded estimates for the commutators generated by multilin- ear Calderon{Zygmund operators and RBMO() functions. Some of the results are also new even when the measure is the d-dimensional Lebesgue measure.
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