Equivalent conditions for the validity of the Helmholtz decomposition of Muckenhoupt $A_p$-weighted $L^p$-spaces

DOI10.21136/CMJ.2018.0646-16zbMath1488.35426OpenAlexW2802539430MaRDI QIDQ4558689

Ryôhei Kakizawa

Publication date: 29 November 2018

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21136/cmj.2018.0646-16

zbMATH Keywords

Helmholtz decompositionvariational estimateMuckenhoupt \(A_{p}\)-weighted \(L^{p}\)-spaces

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) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30)

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Equivalent conditions for the consistency of the Helmholtz decomposition of Muckenhoupt \(A_p\)-weighted \(L_p\)-spaces

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