A note on the Stieltjes transformation

DOI10.1017/S0308210500024860zbMath0654.44001OpenAlexW2160827301MaRDI QIDQ3800521

Gordon Sinnamon

Publication date: 1988

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500024860

zbMATH Keywords

weightsStieltjes transformationbounded transformationHilbert's double series theorem

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15)

Related Items (10)

Hardy integral estimates for a class of integral transforms ⋮ On singular numbers of a generalized Stieltjes transformation ⋮ Some new iterated Hardy-type inequalities ⋮ On scales of equivalent conditions characterizing weighted Stieltjes inequality ⋮ 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 ⋮ The rearrangement-invariant space \(\Gamma _{p,\phi}\) ⋮ The Calderón operator and the Stieltjes transform on variable Lebesgue spaces with weights

Cites Work

• Weighted inequalities for the Stieltjes transformation and Hubert's double series
• The stieltjes transformation on weighted L_pspaces
• Hardy Inequalities with Mixed Norms

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