Resumen de Jacobi transplantation revisited

Óscar Ciaurri Ramírez , Adam Nowak, Krzysztof Stempak

• A transplantation theorem for Jacobi series proved by Muckenhoupt is reinvestigated by means of a suitable variant of Calderón¿Zygmund operator theory. An essential novelty of our paper is weak type (1,1) estimate for the Jacobi transplantation operator, located in a fairly general weighted setting. Moreover, L p estimates are proved for a class of weights that contains the class admitted in Muckenhoupt¿s theorem.