Some calculations of Orlicz cohomology and Poincaré-Sobolev-Orlicz inequalities

DOI10.33048/semi.2019.16.075zbMath1440.46060arXiv1904.09928OpenAlexW3016087473MaRDI QIDQ2331121

Vladimir Gol'dshtein, Yaroslav Kopylov

Publication date: 25 October 2019

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.09928

zbMATH Keywords

torsiondifferential formOrlicz cohomologyPoincaré-Sobolev-Orlicz 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) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) de Rham theory in global analysis (58A12) Differential forms in global analysis (58A10)

Related Items (3)

De Rham's theorem for Orlicz cohomology ⋮ Pullback functors for reduced and unreduced \(L^{q,p}\)-cohomology ⋮ Normal and compact solvability of the exterior derivation operator in Orlicz spaces

Cites Work

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• Differential forms on Lipschitz manifolds
• Integral estimates for null Lagrangians
• Sobolev inequalities for differential forms and \(L_{q,p}\)-cohomology
• De Rham regularization operators in Orlicz spaces of differential forms on Riemannian manifolds
• Inequalities for Differential Forms
• ORLICZ SPACES OF DIFFERENTIAL FORMS ON RIEMANNIAN MANIFOLDS: DUALITY AND COHOMOLOGY

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