Abstract
Boundedness criteria for the Calderon singular integral, Riesz transform and Cauchy singular integral in generalized weighted grand Lebesgue spaces L p),θ w , 1 < p < ∞, are studied. It is shown that an operator K of this type is bounded in L p),θ w if and only if the weight w satisfies the Muckenhoupt A p condition. Bibliography: 15 titles.
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