Approximation and entropy numbers in Besov spaces of generalized smoothness

  • Authors:

  • Fernando Cobos;Thomas Kühn

  • Affiliations:

  • Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense de Madrid, E-28040 Madrid, Spain;Mathematisches Institut, Fakultät für Mathematik und Informatik, Universität Leipzig, Johannisgasse 26, D-04103 Leipzig, Germany

  • Venue:
  • Journal of Approximation Theory
  • Year:
  • 2009

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Abstract

We determine the exact asymptotic behaviour of entropy and approximation numbers of the limiting restriction operator J:B"p","q"""1^s^,^@j(R^d)-B"p","q"""2^s(@W), defined by J(f)=f|"@W. Here @W is a non-empty bounded domain in R^d, @j is an increasing slowly varying function, 0