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Pointwise multipliers and decomposition theorems in F ∞,q s

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Abstract.

In this paper we give a characterization of the pointwise multipliers of the holomorphic Triebel-Lizorkin spaces F ∞, q s , and we apply these results to prove a corona decomposition theorem for these spaces.

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Authors and Affiliations

  1. Departament de Matemàtica Aplicada i Anàlisi, Universitat de Barcelona, Gran Via 585, 08007, Barcelona, Spain

    JoaquíM. Ortega & Joan Fàbrega

Authors
  1. JoaquíM. Ortega
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  2. Joan Fàbrega
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Correspondence to JoaquíM. Ortega.

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Mathematics Subject Classification (1991):32A37

Both authors partially supported by DGICYT Grant BMF2002-04072-C02-01 and CIRIT Grant 2001-SGR-00172

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Ortega, J., Fàbrega, J. Pointwise multipliers and decomposition theorems in F ∞,q s . Math. Ann. 329, 247–277 (2004). https://doi.org/10.1007/s00208-003-0461-6

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  • DOI: https://doi.org/10.1007/s00208-003-0461-6

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