Title of article :
INEQUALITIES FOR B-CONVOLUTION OPERATORS
Author/Authors :
GADJIEV, AKIF D. Azerbajian National Academy of Scinces - Institute of Mathematics and Mechanics , HAJIBAYOV, MUBARIZ G. Azerbajian National Academy of Scinces - Institute of Mathematics and Mechanics, Azerbajian
Abstract :
The B-convolution operators generated by the generalized shift operators associated with the Laplace-Bessel operator are considered and three inequalities are proved for these operators. The first two inequalities are O’Neil type inequalities and third inequality is a generalization of the Young inequality for the B-convolution integrals. The last inequality is also an extension of the Hardy-Littlewood-Sobolev theorem for the B-fractional integrals.
Keywords :
Laplace , Bessel differential operator , B , convolution , O Neil inequality , Young inequality , Lorentz space , B , fractional integral.
Journal title :
TWMS Journal of Pure and Applied Mathematics
Journal title :
TWMS Journal of Pure and Applied Mathematics
