Boundedness of some operators in grand generalized weighted Morrey spaces on RD-spaces

This paper aims to investigate the boundedness of some operators on grand generalized weighted Morrey spaces Lp),??(?) over RD-spaces. Under assumption that functions ? and ? satisfy certain conditions, we prove that Hardy-Littlewood maximal operator and ?-type Calder?n-Zygmund operator are bounded on these spaces. Moreover, the boundedness of the commutator [b,T?] generated by the ?-type Calderon-Zygmund operator and locally integrable function b is also established. The results presented for grand generalized weighted Morrey spaces are also new even in the context of Euclidean domains.