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We consider the generalized shift operator, associated with the Laplace–Bessel differential operator . We study the Riesz potential
(B-Riesz potential), associated with the generalized shift operator (B-Riesz potential) and its modified version
(modified B-Riesz potential) in the B-Morrey space. We prove that the operator
, 0<α<n+γ is bounded from
to
.
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