L 2 Approaches in Several Complex Variables by Takeo Ohsawa

Author:Takeo Ohsawa
Language: eng
Format: epub
ISBN: 9784431568520
Publisher: Springer Japan

Theorem 3.28 (cf. [B’85])

In the above situation the following hold. (a) The restriction map maps continuously to .

(b) There exists a linear map

which maps continuously into such that R(L(f)) = f holds for all f.

The proof of Theorem 3.28 consists of finding a current T satisfying fT = 1 in terms of the integral kernel of Henkin [H’70] and Ramirez [R’70].

The L 2 method can be applied to extend Theorem 3.27. Let D be as above, let , let H be a smooth hypersurface in a neighborhood of which intersects ∂D transversally, and let be the space of satisfying

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