On the Hardy-type integral operators in Banach function spaces

DOI10.5565/PUBLMAT_42198_09zbMath0923.46029MaRDI QIDQ1277129

Elena Lomakina, Vladimir D. Stepanov

Publication date: 11 April 1999

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/41329

zbMATH Keywords

boundednesscompactnessapproximation numbersmeasure of non-compactnessBanach function spacesmapping propertiesHardy-type integral operators

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) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Linear operators on function spaces (general) (47B38) Integral operators (47G10)

Related Items (20)

Some \(s\)-numbers of an integral operator of Hardy type in Banach function spaces ⋮ Equivalence of Hardy-type inequalities with general measures on the cones of non-negative respective non-increasing functions ⋮ Mean inequalities in certain Banach function spaces ⋮ Two-weight criteria for the multidimensional Hardy-type operator in \(p\)-convex Banach function spaces and some applications ⋮ Unnamed Item ⋮ Compactness of the two-dimensional rectangular Hardy operator ⋮ Two-weighted inequalities for the Riesz potential in \(p\)-convex weighted modular Banach function spaces ⋮ Hardy-Steklov integral operators. II ⋮ On the boundedness and compactness of a certain integral operator ⋮ Estimates for the norm of the Hardy operator in operator ideals ⋮ Weighted inequalities for quasilinear integral operators on the semi-axis and applications to Lorentz spaces ⋮ The supremum-involving Hardy-type operators on Lorentz-type spaces ⋮ Local Hardy-Littlewood maximal operator in variable Lebesgue spaces ⋮ On a weighted inequality for a Hardy-type operator ⋮ Unnamed Item ⋮ Norm inequalities in weighted amalgam ⋮ Hardy-Steklov integral operators. I ⋮ Boundedness and compactness of Hardy-type integral operators on Lorentz-type spaces ⋮ 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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