Multivariate Landau–Kolmogorov-type inequality

DOI10.1017/S0305004100067839zbMath0684.46032MaRDI QIDQ4734314

Z. Ditzian

Publication date: 1989

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

LaplacianBanach function spacesinequalities for derivativesderivatives in Sobolev's sense

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) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) General theory of partial differential operators (47F05)

Related Items

Mixed and Directional Derivatives, Convexity, moduli of smoothness and a Jackson-type inequality, Barrier-top resonances for non globally analytic potentials, Interpolation inequalities for derivatives in variable exponent Lebesgue-Sobolev spaces, Sharp Jackson inequalities, Strong converse inequalities, Generalization of interpolation inequalities, Averages and \(K\)-functionals related to the Laplacian, Sharp Marchaud and converse inequalities in Orlicz spaces

Cites Work

• Some remarks on inequalities of Landau and Kolmogorov
• Discrete and shift Kolmogorov type inequalities