| 8 | Boundedness Characterization of Maximal Commutators on Orlicz Spaces in the Dunkl Setting显示文摘On the real line,the Dunkl operators Dν(f)(x):=d f(x)dx+(2ν+1)f(x)−f(−x)2x,∀x∈R,∀ν≥−12 are differential-difference operators associated with the reflection group Z2 on R,and on the Rd the Dunkl operators{Dk,j}dj=1 are the differential-difference operators associated with the reflection group Zd2 on Rd.In this paper,in the setting R we show that b∈BMO(R,dmν)if and only if the maximal commutator Mb,νis bounded on Orlicz spaces LΦ(R,dmν).Also in the setting Rd we show that b∈BMO(Rd,h2k(x)dx)if and only if the maximal commutator Mb,k is bounded on Orlicz spaces LΦ(Rd,h2k(x)dx). | Vagif S.Guliyev Yagub Y.Mammadov Fatma A.Muslumova | 2020 | Journal of Mathematical Study2020，53，1： | 1 |
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