Jacobi Transplantations and Weyl Integrals
- Kolyada, Viktor 1
- Roncal Gómez, Luz 2
- 1 Department of Mathematics, Karlstad University, Universitetsgatan 1, 651 88 Karlstad, Sweden
-
2
Universidad de La Rioja
info
ISSN: 0010-0757
Any de publicació: 2010
Volum: 61
Fascicle: 2
Pàgines: 205-221
Tipus: Article
Altres publicacions en: Collectanea mathematica
Resum
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)).