Hölder weight estimates of Riesz-Bessel singular integrals generated by a generalized shift operator


Ekincioglu İ., Keskin C., Er S.

Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica, vol.19, pp.75-92, 2011 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 19
  • Publication Date: 2011
  • Journal Name: Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.75-92
  • Keywords: Generalized Shift Operator, Riesz-Bessel Singular Integral, Holder spaces

Abstract

Riesz-Bessel singular integral operators generated by generalized shift operator in weighted Holder space H(alpha,beta)(gamma), is studied. The H(alpha,beta)(gamma) boundedness of this operator is established in certain cases.