Weight characterization of an averaging operator.

DOI10.1016/S0022-247X(03)00286-5zbMath1071.42013OpenAlexW2063248388MaRDI QIDQ1404911

Hans P. Heinig, Christiane Carton-Lebrun

Publication date: 25 August 2003

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

Full work available at URL: https://doi.org/10.1016/s0022-247x(03)00286-5

zbMATH Keywords

averaging operatorweight functionsweighted Lebesgue spacesfactorization theorem

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Maximal functions, Littlewood-Paley theory (42B25) Linear operators on function spaces (general) (47B38) Integral operators (47G10) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items

Norm dynamic inequalities and theorems of factorization of weighted Cesàro and Copson spaces, Factorization theorems of Cesàro and Copson spaces on time scales, Factorizations of weighted Hardy inequalities, On Cesàro and Copson sequence spaces with weights

Cites Work

• Generalized Hardy operators and normalizing measures.
• Some integral inequalities related to Hardy's inequality
• Weighted weak type Hardy inequalities with applications to Hilbert transforms and maximal functions
• Integral operators and weighted amalgams
• Factorizing the classical inequalities
• Hardy's inequality with weights
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