Geodesic
Some generalization of weighted norm inequalities for certain class of integral operators
Kragujevac Journal of Mathematics, Tome 24 (2002), p. 95

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Kragujevac J. Math. 24 (2002) 95-105. SOME GENERALIZATION OF WEIGHTED NORM INEQUALITIES FOR CERTAIN CLASS OF INTEGRAL OPERATORSK. 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 Lp(n) to Lq(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 Lq(�n,w dx) to Lp(�n,n dx) for some nontrivial w.
Classification : 26D10 47G10
Keywords: weighted norm inequality, weight functions 
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     title = {Some generalization of weighted norm inequalities for certain class of integral operators},
     journal = {Kragujevac Journal of Mathematics},
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     year = {2002},
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K. Rauf; C. O. Imoru. Some generalization of weighted norm inequalities for certain class of integral operators. Kragujevac Journal of Mathematics, Tome 24 (2002), p. 95 . http://geodesic.mathdoc.fr/item/KJM_2002_24_a10/