Abstract
ABSTRACTWe prove that the Markov–Stieltjes transform is a bounded non compact Hankel operator on Hardy space with Hilbert matrix with respect to the standard Schauder basis of and a bounded non-compact operator on Lebesgue space for and obtain estimates for its norm in this spaces. It is shown that the Markov–Stieltjes transform on is unitary equivalent to the Markov–Stieltjes transform on . Inverse formulas and operational properties for this transform are obtained.
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