On Weighted Sobolev Interpolation Inequalities

DOI10.2307/2160420zbMath0815.26007OpenAlexW4240835528MaRDI QIDQ4300963

Seng-Kee Chua

Publication date: 2 July 1995

Full work available at URL: https://doi.org/10.2307/2160420

zbMATH Keywords

weighted Lebesgue spacesweighted Sobolev interpolation inequalitiesdoubling weight

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) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (8)

Hardy-type inequalities derived from \(p\)-harmonic problems ⋮ New Orlicz variants of Hardy type inequalities with power, power-logarithmic, and power-exponential weights ⋮ Functional inequalities and applications to doubly nonlinear diffusion equations ⋮ On equivalent conditions for the validity of Poincaré inequality on weighted Sobolev space with applications to the solvability of degenerated PDEs involving \(p\)-Laplacian ⋮ Hardy inequalities resulted from nonlinear problems dealing with \(A\)-Laplacian ⋮ Weighted inequalities on John domains ⋮ Spectral theory of singular elliptic operators with measurable coefficients ⋮ Gagliardo–Nirenberg and Sobolev interpolation inequalities on Besov spaces

Cites Work

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• Injectivity theorems in plane and space
• Weighted Norm Inequalities for the Hardy Maximal Function

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