A note on a theorem of Zhu on weighted Bergman projections on the polydisc

• Autores: Stevo Stevic
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 34, Nº 4, 2008, págs. 1233-1242
• Idioma: inglés
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• Resumen

  • We show that a holomorphic function in the unit polydisc is the image of a bounded holomorphic function by the weighted Bergman projection if and only if some weighted derivations of the function are bounded. This result improves Theorem 4 in the paper K. Zhu, Weighted Bergman projections on the polydisc