Eroglu, AhmetHajibayov, Mubariz G.Serbetci, Ayhan2019-08-012019-08-0120161029-242Xhttps://dx.doi.org/10.1186/s13660-016-1104-2https://hdl.handle.net/11480/3624In this paper we prove a two weighted inequality for Riesz potentials I-alpha,I-gamma f (B-fractional integrals) associated with the Laplace-Bessel differential operator Delta(B)= Sigma(n)(i=1) partial derivative(2)/partial derivative x(i)(2) + Sigma(k)(j=1) gamma(j)/x(j) partial derivative/partial derivative xj. This result is an analog of Heinig's result (Indiana Univ. Math. J. 33(4):573-582, 1984) for the B-fractional integral. Further, the Stein-Weiss inequality for B-fractional integrals is proved as an application of this result.eninfo:eu-repo/semantics/openAccessLaplace-Bessel differential operatorB-fractional integralsStein-Weiss inequalityArticle10.1186/s13660-016-1104-22-s2.0-84983084825Q2WOS:000379686400001Q2