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ON THE BOUNDEDNESS OF DUNKL-TYPE FRACTIONAL INTEGRAL OPERATOR IN THE GENERALIZED DUNKL-TYPE MORREY SPACES

ON THE BOUNDEDNESS OF DUNKL-TYPE FRACTIONAL INTEGRAL OPERATOR IN THE GENERALIZED DUNKL-TYPE MORREY SPACES

First, we prove that the Dunkl-type maximal operator M α is bounded on the generalized Dunkl-type Morrey spaces M p,ω,α for 1 < p < ∞ and from the spaces M 1,ω,α to the weak spaces W M 1,ω,α .We prove that the Dunkl-type fractional order integral operator I β,α …