Weighted norm inequalities for homogeneous singular integrals

Duoandikoetxea, Javier

doi:10.1090/S0002-9947-1993-1089418-5

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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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