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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Weighted norm inequalities for homogeneous singular integrals

Author: Javier Duoandikoetxea
Journal: Trans. Amer. Math. Soc. 336 (1993), 869-880
MSC: Primary 42B20; Secondary 42B25, 47G10
MathSciNet review: 1089418
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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.

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