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

• Autores: Liang Li, Bolin Ma, Jiang Zhou
• Localización: Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 78, Fasc. 2, 2011, págs. 283-296
• Idioma: inglés
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• Resumen

  • 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.