On the geometric mean operator

DOI10.1006/jmaa.1994.1172zbMath0815.47041OpenAlexW2080670856MaRDI QIDQ1329302

Luboš Pick, Bohumír Opic

Publication date: 25 June 1995

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1994.1172

zbMATH Keywords

averaging operatorgeometric mean operator\(L_ p- L_ q\) inequalities

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Linear operators on function spaces (general) (47B38)

Related Items (9)

Two-weight criteria for the multidimensional Hardy-type operator in \(p\)-convex Banach function spaces and some applications ⋮ Weighted weak type inequalities for modified Hardy operators and geometric means operators in dimensions one and greater ⋮ Weighted inequalities for discrete iterated kernel operators ⋮ On bilinear Hardy inequality and corresponding geometric mean inequality ⋮ Some remarks on two-dimensional Knopp type inequalities ⋮ Weighted estimates for integral transforms and a variant of Schur's Lemma ⋮ A characterization for the boundedness of geometric mean operator ⋮ ON WEIGHTED INEQUALITIES WITH GEOMETRIC MEAN OPERATOR ⋮ On Carleman and Knopp's inequalities.

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