2005•International Journal of Mathematics and Mathematical SciencesOpen access

Weighted norm inequalities for a class of rough singular integrals

H. M. Al-Qassem

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Abstract

Weighted norm inequalities are proved for a rough homogeneous singular integral operator and its corresponding maximal truncated singular operator. Our results are essential improvements as well as extensions of some known results on the weighted boundedness of singular integrals.

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Weighted norm inequalities are proved for a rough homogeneous singular integral operator and its corresponding maximal truncated singular operator. Our results are essential improvements as well as extensions of some known results on the weighted boundedness of singular integrals.

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Available abstract

Weighted norm inequalities are proved for a rough homogeneous singular integral operator and its corresponding maximal truncated singular operator. Our results are essential improvements as well as extensions of some known results on the weighted boundedness of singular integrals.

Key concepts: Mathematics, Singular integral, Singular integral operators, Norm (philosophy), Maximal operator, Homogeneous, Class (philosophy), Pure mathematics

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