On some singular integral operatorsclose to the Hilbert transform
T. Godoy, L. Saal, M. Urciuolo (1997)
Colloquium Mathematicae
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Let m: ℝ → ℝ be a function of bounded variation. We prove the -boundedness, 1 < p < ∞, of the one-dimensional integral operator defined by where for a family of functions satisfying conditions (1.1)-(1.3) given below.