Jacobi Transplantations and Weyl Integrals
- 1 Department of Mathematics, Karlstad University, Universitetsgatan 1, 651 88 Karlstad, Sweden
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2
Universidad de La Rioja
info
ISSN: 0010-0757
Año de publicación: 2010
Volumen: 61
Fascículo: 2
Páginas: 205-221
Tipo: Artículo
Otras publicaciones en: Collectanea mathematica
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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)).