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Norm estimates and integral kernel estimates for a bounded operator in Sobolev spaces

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Publication:764646
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DOI10.3792/pjaa.87.186zbMath1233.47031OpenAlexW2028706291MaRDI QIDQ764646

Yoichi Miyazaki

Publication date: 13 March 2012

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.87.186


zbMATH Keywords

Sobolev spaceSobolev embedding theoremelliptic operatorkernel theorem


Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operators on function spaces (general) (47B38)




Cites Work

  • Higher order elliptic operators of divergence form in \(C^{1}\) or Lipschitz domains
  • The \(L^p\) theory of divergence form elliptic operators under the Dirichlet condition
  • On Besov spaces of functions defined in general regions
  • On the asymptotic distribution of eigenvalues of operators associated with strongly elliptic sesquilinear forms
  • Heat asymptotics for Dirichlet elliptic operators with non-smooth coefficients


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