Vanishing exponential integrability for functions whose gradients belong to \(L^n(\log(e+L))^{\alpha}\)

DOI10.1016/S0022-1236(02)00092-7zbMath1029.46021MaRDI QIDQ1869044

Ritva Hurri-Syrjänen, David R. Adams

Publication date: 9 April 2003

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

Trudinger exponential-type inequality

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) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (15)

Capacity estimates ⋮ Differentiability properties of Orlicz-Sobolev functions ⋮ Continuity properties of Riesz potentials of Orlicz functions ⋮ Orlicz-Sobolev capacity of balls ⋮ On null sets of Sobolev-Orlicz capacities ⋮ Remarks on the Gagliardo-Nirenberg type inequality in the Besov and the Triebel-Lizorkin spaces in the limiting case ⋮ Vanishing exponential integrability for Riesz potentials in Morrey–Orlicz spaces ⋮ Sobolev's inequalities and vanishing integrability for Riesz potentials of functions in the generalized Lebesgue space \(L^{p(\cdot)}(\log L)^{q(\cdot)}\) ⋮ Characterization of Orlicz--Sobolev space ⋮ Estimates for certain Orlicz-Sobolev capacities of an Euclidean ball ⋮ Orlicz-Sobolev capacities and their null sets ⋮ Weighted Orlicz-Riesz capacity of balls ⋮ My Love Affair with the Sobolev Inequality ⋮ A density result on Orlicz-Sobolev spaces in the plane ⋮ Differentiability properties of functions from higher-order Orlicz-Sobolev spaces

Cites Work

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• An extension of Hedberg's convolution inequality and applications
• Weakly Differentiable Functions
• Double exponential integrability of convolution operators in generalized Lorentz-Zygmund spaces
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)
• Sobolev inequalities of exponential type

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