Jacobi transplantation revisited

• Óscar Ciaurri Ramírez ^[1] ; Adam Nowak ^[2] ; Krzysztof Stempak ^[2]
  1. [1] Universidad de La Rioja

     Universidad de La Rioja

     Logroño, España

     
  2. [2] Wrocław University of Technology

     Wrocław University of Technology

     Breslavia, Polonia

     
• Localización: Mathematische zeitschrift, ISSN 0025-5874, Vol. 257, Nº. 2, 2007, págs. 355-380
• Idioma: inglés
• DOI: 10.1007/s00209-007-0128-1
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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.