Open Access- https://doi.org/10.1007/bf03191242
Jacobi transplantations and Weyl integrals
- Jun 1, 2010
- Collectanea mathematica
- V I Kolyada +1 more
Abstract
We prove that transplantations for Jacobi polynomials can be derived from representation of a special integral operator as fractionalWeyl’s integral. Furthermore, we show that, in a sense, Jacobi transplantation can be reduced to transplantations for ultraspherical polynomials. As an application of these results, we obtain transplantation theorems for Jacobi polynomials in ReH 1 and BMO. The paper gives an extension of the results obtained for ultraspherical polynomials by the first named author (MR2148530 (2006a:42045)).
- # Special Operator
- # Transplantation Theorems
- # Ultraspherical Polynomials
- # Jacobi Polynomials
- # Integral Operator
