Some classical operators on Lorentz space

DOI10.1515/form.1992.4.135zbMath0824.42014OpenAlexW1970703793MaRDI QIDQ3991007

Christoph Neugebauer

Publication date: 28 June 1992

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/141667

zbMATH Keywords

Hilbert transformHardy operatorweighted norm inequalitiesquasilinear operatorsHardy-Littlewood maximal functionweak type inequalitiesoperators on Lorentz space

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Linear operators on function spaces (general) (47B38) Inequalities for sums, series and integrals (26D15)

Related Items (14)

Weighted estimates for Bochner–Riesz operators on Lorentz spaces ⋮ Equality of some classical Lorentz spaces ⋮ Hardy type operators on grand Lebesgue spaces for non-increasing functions ⋮ Hardy-type integral inequalities for quasi-monotone functions ⋮ Weighted strong-type estimates on classical Lorentz spaces ⋮ O'Neil type convolution inequalities in Lorentz spaces ⋮ Boundedness of the Hilbert transform on weighted Lorentz spaces ⋮ Characterization of the weak-type boundedness of the Hilbert transform on weighted Lorentz spaces ⋮ Weighted Norm Inequalities for General Operators on Monotone Functions ⋮ Boundedness of sparse and rough operators on weighted Lorentz spaces ⋮ Calderón-Zygmund operators and commutators on weighted Lorentz spaces ⋮ From weak-type weighted inequality to pointwise estimate for the decreasing rearrangement ⋮ Some new scales of weight characterizations of the class \(B_p\) ⋮ Reduction theorems for weighted integral inequalities on the cone of monotone functions

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