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    B-maximal commutators, commutators of B-singular integral operators and B-Riesz potentials on B-Morrey spaces
    (De Gruyter Poland Sp Z O O, 2020) Hasanov, Javanshir J.; Ayazoglu, Rabil; Bayrakci, Simten
    In this article, we consider the Laplace-Bessel differential operator Delta(Bk,n) = Sigma(k)(i=1) (partial derivative(2)/partial derivative x(i)(2) + gamma(i)/x(i) partial derivative/partial derivative x(i)) + Sigma(n)(i=k+1) partial derivative(2)/partial derivative x(i)(2), gamma(1) > 0,..., gamma(k) > 0. Furthermore, we define B-maximal commutators, commutators of B-singular integral operators and B-Riesz potentials associated with the Laplace-Bessel differential operator. Moreover, we also obtain the boundedness of the B-maximal commutator M-b,M-gamma and the commutator [b, A(gamma)] of the B-singular integral operator and Hardy-Littlewood-Sobolev-type theorem for the commutator [b, I-alpha,I-gamma] of the B-Riesz potential on B-Morrey spaces L-p,L-lambda,L-gamma, when b is an element of BMO gamma.