Jacobi Transplantations and Weyl Integrals

  1. Kolyada, Viktor 1
  2. Roncal Gómez, Luz 2
  1. 1 Department of Mathematics, Karlstad University, Universitetsgatan 1, 651 88 Karlstad, Sweden
  2. 2 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Revista:
Collectanea mathematica

ISSN: 0010-0757

Año de publicación: 2010

Volumen: 61

Fascículo: 2

Páginas: 205-221

Tipo: Artículo

DOI: 10.1007/BF03191242 DIALNET GOOGLE SCHOLAR lock_openAcceso abierto editor

Otras publicaciones en: Collectanea mathematica

Resumen

We prove that transplantations for Jacobi polynomials can bederived from representation of a special integral operator asfractional Weyl's integral. Furthermore, we show that, in a sense,Jacobi transplantation can be reduced to transplantations forultraspherical polynomials. As an application of these results, weobtain transplantation theorems for Jacobi polynomials in $\RealH^1$ and $\BMO.$ The paper gives an extension of the resultsobtained for ultraspherical polynomials by the first named author(MR2148530 (2006a:42045)).

Fuente de los datos: Dialnet