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Dp spaces on bounded symmetric domains ofCn

Research paper by Shi Jihuai

Indexed on: 01 Mar '94Published on: 01 Mar '94Published in: Acta Mathematica Sinica, English Series



Abstract

In this paper, the spaceDp(Ω) of functions holomorphic on bounded symmetric domain ofCn is defined. We prove thatHp(Ω)⊂Dp(Ω) if 0<p≤2, andDp(Ω)⊂Hp(Ω) ifp≥2, and both the inclusions are proper. Further, we find that some theorems onHp(Ω) can be extended to a wider classDp(Ω) for 0<p≤2.