Boundedness of a family of Hilbert-type operators and its Bergman-type analogue

zbMath1370.47029arXiv1512.02537MaRDI QIDQ512477

Justice Sam Bansah, Benoit Florent Sehba

Publication date: 27 February 2017

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.02537

zbMATH Keywords

boundednesspositive Bergman-type operatorsupper triangle operator

Mathematics Subject Classification ID

Integration with respect to measures and other set functions (28A25) Inequalities for sums, series and integrals (26D15) Kernel operators (47B34)

Related Items (9)

Boundedness criteria and norm of some multilinear Hilbert-type operators ⋮ On the boundedness of the fractional Bergman operators ⋮ Multilinear Schur-type tests and boundedness of multilinear Bergman-type operators ⋮ Off-diagonal boundedness and unboundedness of product Bergman-type operators ⋮ Carleson embeddings for Hardy-Orlicz and Bergman-Orlicz spaces of the upper-half plane ⋮ Off-diagonal estimates of some Bergman-type operators of tube domains over symmetric cones ⋮ \(L^p - L^q\) boundedness of Bergman-type operators over the Siegel upper half-space ⋮ Some Carleson measures for the Hilbert-Hardy space of tube domains over symmetric cones ⋮ Hilbert-type inequalities in homogeneous cones

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