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Normally resolvable operators and direct decompositions of Sobolev spaces

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Publication:1947426
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DOI10.1007/s10958-012-0981-2zbMath1276.47059OpenAlexW2013978768MaRDI QIDQ1947426

I. A. Borovikov

Publication date: 22 April 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-012-0981-2

zbMATH Keywords

normally resolvable operatorWeyl-Helmholtz decompositiondirect decompositions of Sobolev 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) General theory of partial differential operators (47F05)


Related Items

Properties of modules over Clifford algebras and variational problems



Cites Work

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  • Decomposition of the spaces \(W_p^m\) and \(D_p^{m,k}\) into sums of solenoidal and potential subspaces and factorization inequalities
  • Lieb-Thirring integral inequalities and sharp bounds for the dimension of the attractor of the Navier-Stokes equations with friction
  • On the complemented subspaces problem
  • The method of orthogonal projection in potential theory
  • COMPLEMENTED SUBSPACES IN BANACH SPACES
  • PHANTOM MAPS, COGROUPS AND THE SUSPENSION MAP
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