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.
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