Jacobi transplantations and Weyl integrals
نویسندگان
چکیده
We prove that transplantations for Jacobi polynomials can be derived from representation of a special integral operator as fractional Weyl’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 ReH1 and BMO. The paper gives an extension of the results obtained for ultraspherical polynomials by the first named author (MR2148530 (2006a:42045)).
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