Published January 1, 2023
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SOME CHARACTERIZATIONS OF <i>BMO</i> SPACES VIA COMMUTATORS OF FRACTIONAL MAXIMAL OPERATOR IN ORLICZ SPACES OVER SPACES OF HOMOGENEOUS TYPE
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We give the necessary and sufficient conditions for the boundedness of the commutators of the fractional maximal operator [b, M-eta] in Orlicz spaces L-Phi(X) over spaces of homogeneous type X = (X, d, mu) when b belongs to BMO(X) spaces. We obtain some new characterizations for certain subclasses of BMO(X) spaces.
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