On the Compactness and Approximation Numbers of Hardy-Type Integral Operators in Lorentz Spaces

DOI10.1112/jlms/53.2.369zbMath0853.42013OpenAlexW2327477429MaRDI QIDQ4894511

Elena Lomakina, Vladimir D. Stepanov

Publication date: 18 November 1996

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/53.2.369

zbMATH Keywords

boundednesscompactnessLorentz spacemeasure of noncompactnessapproximation numbersHardy-type integral operator

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)

Related Items (11)

The estimates of the Schatten-Neumann norms of one class of integral operators ⋮ Notes about s‐numbers for a Sobolev type embedding of order 4 and for a higher order integral operator ⋮ Estimates for the norm of the Hardy operator in operator ideals ⋮ The supremum-involving Hardy-type operators on Lorentz-type spaces ⋮ On supremum operators ⋮ Lorentz norm inequalities for the Hardy operator involving suprema ⋮ On estimates for the norms of the Hardy operator acting in the Lorenz spaces ⋮ Boundedness and compactness of Hardy-type integral operators on Lorentz-type spaces ⋮ Unnamed Item ⋮ The estimates of the approximation numbers of the Hardy operator acting in the Lorenz spaces in the case ${\it {\bf \max}(r,s)\leq q}$ ⋮ Reduction theorems for weighted integral inequalities on the cone of monotone functions

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