Resumen de Multilinear Calderon--Zygmund operators on Morrey space with non-doubling measures

Liang Li, Bolin Ma, Jiang Zhou

• 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.