95

Kragujevac J. Math. 24 (2002) 95-105.

SOME GENERALIZATION OF WEIGHTED NORM INEQUALITIES
FOR CERTAIN CLASS OF INTEGRAL OPERATORS

K. Rauf and C. O. Imoru

Department of Mathematics, Obafemi Awolowo University, Ile-Ife, Nigeria

(Received June 20, 2001)

Abstract. A generalization is obtained for a non-negative weight function w for which there is a non-negative weight function n < „ m-almost everywhere such that T maps L^p(n) to L^q(w), i. e.

and C is a constant depending on K, p, q but independent of f. Furthermore, for T sublinear operator generalization is obtained for weight functions for which T is bounded from L^q(Āⁿ,w dx) to L^p(Āⁿ,n dx) for some nontrivial w.