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D p spaces on bounded symmetric domains ofC n

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Abstract

In this paper, the spaceD p(Ω) of functions holomorphic on bounded symmetric domain ofC n is defined. We prove thatH p(Ω)⊂D p(Ω) if 0<p≤2, andD p(Ω)⊂H p(Ω) ifp≥2, and both the inclusions are proper. Further, we find that some theorems onH p(Ω) can be extended to a wider classD p(Ω) for 0<p≤2.

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  1. Department of Mathematics, University of Science Technology of China, 230027, Hefei, China

    Shi Jihuai

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  1. Shi Jihuai
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Jihuai, S. D p spaces on bounded symmetric domains ofC n . Acta Mathematica Sinica 10, 11–18 (1994). https://doi.org/10.1007/BF02561543

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  • DOI: https://doi.org/10.1007/BF02561543

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