The boundedness of the Cauchy singular integral operator in weighted Besov type spaces with uniform norms (Articolo in rivista)

Type

• Articolo in rivista (Classe)
• Prodotto della ricerca (Classe)

Label

• The boundedness of the Cauchy singular integral operator in weighted Besov type spaces with uniform norms (Articolo in rivista) (literal)

Anno

• 2002-01-01T00:00:00+01:00 (literal)

Alternative label

• Mastroianni G., Russo M.G., Themistoclakis W. (2002)
  The boundedness of the Cauchy singular integral operator in weighted Besov type spaces with uniform norms
  in Integral equations and operator theory
  (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori

• Mastroianni G., Russo M.G., Themistoclakis W. (literal)

Pagina inizio

• 57 (literal)

Pagina fine

• 89 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume

• 42 (literal)

Rivista

• Integral equations and operator theory (Rivista)

Note

• ISI Web of Science (WOS) (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni

• ppe Mastroianni e Maria Grazia Russo, Dip. di Matematica, Università della Basilicata (literal)

Titolo

• The boundedness of the Cauchy singular integral operator in weighted Besov type spaces with uniform norms (literal)

Abstract

• The mapping properties of the Cauchy singular integral operator with constant coefficients are studied in couples of spaces equipped with weighted uniform norms. Recently weighted Besov type spaces got more and more interest in approximation theory and, in particular, in the numerical analysis of polynomial approximation methods for Cauchy singular integral equations on an interval. In a scale of pairs of weighted Besov spaces the authors state the boundedness and the invertibility of the Cauchy singular integral operator. Such result was not expected for a long time and it will affect further investigations essentially. The technique of the paper is based on properties of the de la Vallee Poussin operator constructed with respect to some Jacobi polynomials. (literal)

Prodotto di

• Istituto per le applicazioni del calcolo \"Mauro Picone\" (IAC) (Istituto)

Autore CNR

• WOULA THEMISTOCLAKIS (Unità di personale interno)

Incoming links:

Prodotto

• Istituto per le applicazioni del calcolo \"Mauro Picone\" (IAC) (Istituto)

Autore CNR di

• WOULA THEMISTOCLAKIS (Unità di personale interno)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#rivistaDi

• Integral equations and operator theory (Rivista)