Hilbert tranform, Toeplitz operators and Hankel operators, and invariant A [infinito] weights

• Autores: Akos Magyar
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 13, Nº 2, 1997, págs. 319-360
• Idioma: inglés
• Títulos paralelos:
  • Transformada de Hilbert, operadores de Toeplitz y operadores de Hankel y pesos A8 invariantes.
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• Resumen

  • In this paper, several sufficient conditions for boundedness of the Hilbert transform between two weighted Lp-spaces are obtained. Invariant A8 weights are obtained. Several characterizations of invariant A8 weights are given. We also obtain some sufficient conditions for products of two Toeplitz operators of Hankel operators to be bounded on the Hardy space of the unit circle using Orlicz spaces and Lorentz spaces.