1993•Transactions of the American Mathematical SocietyRequires access
Weighted norm inequalities for homogeneous singular integrals
Javier Duoandikoetxea
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Abstract
We prove weighted norm inequalities for homogeneous singular integrals when only a size condition is assumed on the restriction of the kernel to the unit sphere. The same results hold for the operator obtained by modifying the centered Hardy-Littlewood maximal operator over balls with a degree zero homogeneous function and also for the maximal singular integral.