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Uniqueness of unconditional bases in quasi-banach spaces with applications to hardy spaces, II

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Abstract

We prove that a wide class of quasi-Banach spaces has a unique up to a permutation unconditional basis. This applies in particular to Hardy spacesH p forp<1. We also investigate the structure of complemented subspaces ofH p (D). The proofs use in essential way matching theory.

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Authors and Affiliations

  1. Instytut Matematyki Uniwersytetu Warszawskiego, 02-097 Warszawa, ul. Banacha 2, Poland

    P. Wojtaszczyk

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  1. P. Wojtaszczyk
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Correspondence to P. Wojtaszczyk.

Additional information

This research was supported in part by KBN grant N. 2P301004.06 and by the Overseas Visiting Scholarship of St. John’s College, Cambridge.

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Wojtaszczyk, P. Uniqueness of unconditional bases in quasi-banach spaces with applications to hardy spaces, II. Isr. J. Math. 97, 253–280 (1997). https://doi.org/10.1007/BF02774040

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  • DOI: https://doi.org/10.1007/BF02774040

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