Conjugacy for Fourier-Bessel expansions

• Krzysztof Stempak ^[3] ; Óscar Ciaurri Ramírez ^[1]
  1. [1] Universidad de La Rioja

     Universidad de La Rioja

     Logroño, España

     
  2. [2] Wrocław University of Technology

     Wrocław University of Technology

     Breslavia, Polonia

     
  3. [3] Instytut Matematyki i Informatyki, Politechnika Wrocławska, Wybrzeze Wyspianskiego 27, 50-370 Wrocław, Poland

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• Localización: Studia mathematica, ISSN 0039-3223, Vol. 176, Nº 3, 2006, págs. 215-247
• Idioma: inglés
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• Resumen

  • We define and investigate the conjugate operator for Fourier-Bessel expansions. Weighted norm and weak type (1, 1) inequalities are proved for this operator by using a local version of the Calderón-Zygmund theory, with weights in most cases more general than Ap weights. Also results on Poisson and conjugate Poisson integrals are furnished for the expansions considered. Finally, an alternative conjugate operator is discussed