Boundedness Criteria for Generalized Hankel Conjugate Transformations
Canadian journal of mathematics, Tome 30 (1978) no. 1, pp. 147-153

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This paper completes a study, begun in [7], of conditions under which a generalized Hankel conjugate transformation H ƛ is bounded between a pair of μα -rearrangement invariant function spaces, the measure μα being defined by dμα(t) = t α∼1dt. Examples of such spaces are the Lp(μα) of Lebesgue and generalizations of them due respectively to Orlicz and Lorentz.
Kerman, R. A. Boundedness Criteria for Generalized Hankel Conjugate Transformations. Canadian journal of mathematics, Tome 30 (1978) no. 1, pp. 147-153. doi: 10.4153/CJM-1978-012-4
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