Abstract
We consider the generalized shift operator, associated with the Laplace–Bessel differential operator γ > 0, and study the modified B-Riesz potential, , generated by the generalized shift operator in the modified B-Morrey space in the limiting case. We prove that the operator , 0 < α < n + γ, is bounded from modified B-Morrey space , , to B-BMO space .
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