Weighted inequalities for the Stieltjes transformation and Hubert's double series
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Publication:3887929
DOI10.1017/S0308210500012014zbMath0444.44002MaRDI QIDQ3887929
Publication date: 1980
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Special integral transforms (Legendre, Hilbert, etc.) (44A15) Integral methods for summability (40C10) Inequalities for sums, series and integrals (26D15) Functional analytic methods in summability (40H05) Multiple sequences and series (40B05) Inequalities involving derivatives and differential and integral operators (26D10)
Related Items (17)
Hardy integral estimates for a class of integral transforms ⋮ On singular numbers of a generalized Stieltjes transformation ⋮ On a new class of Hardy-type inequalities ⋮ Some new iterated Hardy-type inequalities ⋮ Weighted inequalities for the multilinear Hilbert and Calderón operators and applications ⋮ On scales of equivalent conditions characterizing weighted Stieltjes inequality ⋮ A note on the Stieltjes transformation ⋮ Weighted norm inequalities for the generalized multilinear Stieltjes transformation ⋮ Some scales of equivalent conditions to characterize the Stieltjes inequality: the case ⋮ Some new iterated Hardy-type inequalities: the case \({\theta=1}\) ⋮ Weighted estimates for integral transforms and a variant of Schur's Lemma ⋮ Estimates for the singular values of Stieltjes type transforms ⋮ Weighted inequalities for the Stieltjes transform and the maximal spherical partial sum operator on radial functions ⋮ The rearrangement-invariant space \(\Gamma _{p,\phi}\) ⋮ Some new scales of weight characterizations of the class \(B_p\) ⋮ The Calderón operator and the Stieltjes transform on variable Lebesgue spaces with weights ⋮ Weighted estimates of singular integrals and their applications
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