Conditions of validity of inequalities between \(L_ p\)-norms of partial derivatives of functions of several variables

zbMath0205.41801MaRDI QIDQ2542355

Valentin Petrovich Il'in

Publication date: 1968

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

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) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (4)

Best constants in a borderline case of second-order Moser type inequalities ⋮ Density of smooth functions in anisotropic weighted Sobolev spaces with weights that are locally bounded and locally bounded away from zero ⋮ Unnamed Item ⋮ Existence of minimisers of variational problems posed in spaces of mixed smoothness

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