Weak-type weights and normable Lorentz spaces
From MaRDI portal
Publication:4875533
DOI10.1090/S0002-9939-96-03214-5zbMath0853.42016OpenAlexW1518631140MaRDI QIDQ4875533
Javier Soria, Alejandro García del Amo, María Jesús Carro
Publication date: 6 January 1997
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-96-03214-5
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)
Related Items (37)
Weighted estimates for Bochner–Riesz operators on Lorentz spaces ⋮ On the continuity of weakly monotone functions ⋮ Characterization of embeddings of Sobolev-type spaces into generalized Hölder spaces defined by \(L^{p}\)-modulus of smoothness ⋮ Mixed norm and multidimensional Lorentz spaces ⋮ Characterization of associate spaces of generalized weighted weak-Lorentz spaces and embeddings ⋮ Abstract duality Sawyer formula and its applications ⋮ Fourier series in weighted Lorentz spaces ⋮ A generalization of Boyd's interpolation theorem ⋮ Weighted inequalities for the fractional maximal operator in Lorentz spaces via atomic decomposition of tent spaces ⋮ Generalized fractional maximal functions in Lorentz spaces Λ ⋮ Compactness of Sobolev embeddings and decay of norms ⋮ Sharp Sobolev type embeddings on the entire Euclidean space ⋮ Embeddings of Lorentz-type spaces involving weighted integral means ⋮ Hardy-type inequalities on strong and weak Orlicz-Lorentz spaces ⋮ Optimal behavior of weighted Hardy operators on rearrangement‐invariant spaces ⋮ Basic functional properties of certain scale of rearrangement‐invariant spaces ⋮ Functional inequalities in stratified Lie groups with Sobolev, Besov, Lorentz and Morrey spaces ⋮ New Lorentz spaces for the restricted weak-type Hardy's inequalities. ⋮ Weighted strong-type estimates on classical Lorentz spaces ⋮ Norm estimates for the Hardy operator in terms of $B_p$ weights ⋮ Boundedness of the Hilbert transform on weighted Lorentz spaces ⋮ Interpolation theorems for Lorentz martingale spaces ⋮ Weighted inequalities for iterated Copson integral operators ⋮ Continuity properties of solutions to the \(p\)-Laplace system ⋮ The Riesz potential operator in optimal couples of rearrangement invariant spaces ⋮ Weighted Inequalities for Integral and Supremum Operators ⋮ Characterisation of Embeddings in Lorentz Spaces ⋮ Extrapolation results for \(q < 1\) ⋮ Boundedness of sparse and rough operators on weighted Lorentz spaces ⋮ Some properties of Λ ω p (X, μ) ⋮ Optimal Gaussian Sobolev embeddings ⋮ From weak-type weighted inequality to pointwise estimate for the decreasing rearrangement ⋮ Fractional integral operators with homogeneous kernels on generalized Lorentz-Morrey spaces ⋮ Embeddings of Sobolev-type spaces into generalized Hölder spaces involving \(k\)-modulus of smoothness ⋮ Functional properties of rearrangement invariant spaces defined in terms of oscillations ⋮ Hausdorff operators on weighted Lorentz spaces ⋮ Regularity estimates for stationary Stokes problem in some generalized function spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Weighted norm inequalities for averaging operators of monotone functions
- Weighted Lorentz spaces and the Hardy operator
- On L(p,q) spaces
- On the theory of spaces \(\Lambda\)
- Maximal Functions on Classical Lorentz Spaces and Hardy's Inequality with Weights for Nonincreasing Functions
- Boundedness of classical operators on classical Lorentz spaces
- Boundedness of Some Integral Operators
- The Hardy-Littlewood Maximal Function and Weighted Lorentz Spaces
This page was built for publication: Weak-type weights and normable Lorentz spaces
