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Finite rank intermediate Hankel operators on the Bergman space
| Title: | Finite rank intermediate Hankel operators on the Bergman space |
| Authors: | Nakazi, T. Browse this author | | Osawa, T. Browse this author |
| Keywords: | Hankel operator | | finite rank | | Bergman space |
| Issue Date: | 1-Nov-1998 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 437 |
| Start Page: | 1 |
| End Page: | 16 |
| Abstract: | Let L2 L2( D, rdrd0 / 1r) be the Lebesgue space on the open unit disc and L = L2 n 1iol(D) be the Bergman space. Let P be the orthogonal projection of L2 onto L and let Q be the orthogonal projection onto L! 0 = {g E L2 ; g EL, g(O) = O}. Then I -P Q. The big Hankel operator and the small Hankel operator on L are defined as the following : For</> in L00 , H!i9(!) = (I - P)( </>f) and H;,mall(f) = Q( </>f) (f E L). In this paper, the finite rank intermediate Hankel operators between H!ig and H;,ma/1 are studied. We are working on the more general space, that is, the weighted Bergman space. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69187 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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