Orlicz-Hardy inequalities
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Publication:1766853
zbMath1070.46018MaRDI QIDQ1766853
Pekka Koskela, Stephen M. Buckley
Publication date: 1 March 2005
Published in: Illinois Journal of Mathematics (Search for Journal in Brave)
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities for sums, series and integrals (26D15)
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Orlicz Norm Inequalities for Conjugate Harmonic Forms ⋮ Equivalence and self-improvement of \(p\)-fatness and Hardy's inequality, and association with uniform perfectness ⋮ Green’s Operator and Differential Forms ⋮ Integral estimates for the potential operator on differential forms ⋮ Self-improvement of uniform fatness revisited ⋮ Imbedding Inequalities for Composition of Green’s and Potential Operators ⋮ Some local Poincaré inequalities for the composition of the sharp maximal operator and the Green's operator ⋮ Integral Norm Inequalities for Various Operators on Differential Forms ⋮ Imbedding theorems in Orlicz-Sobolev space of differential forms ⋮ The equivalence between pointwise Hardy inequalities and uniform fatness ⋮ Recent advances in \(L^p\)-theory of homotopy operator on differential forms ⋮ Poincaré inequalities for composition operators with \(L^\varphi -\)norm ⋮ Advances in study of Poincaré inequalities and related operators ⋮ Poincaré inequalities with Luxemburg norms in \(L^{\varphi}(m)\)-averaging domains ⋮ Hardy inequalities resulted from nonlinear problems dealing with \(A\)-Laplacian ⋮ Poincaré-type inequalities for the homotopy operator with \(L^{\varphi }(\varOmega )\)-norms ⋮ \(L(\varphi ,\mu )\)-averaging domains and Poincaré inequalities with Orlicz norms ⋮ Characterizations for the Hardy Inequality ⋮ Characterization of the non-homogenous Dirac-harmonic equation
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