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(A_2)-Conditions and Carleson Inequalities
| Title: | (A_2)-Conditions and Carleson Inequalities |
| Authors: | Nakazi, T. Browse this author | | Yamada, M. Browse this author |
| Keywords: | (A2)-condition | | Carleson inequality | | Bergman spaces | | polynomial |
| Issue Date: | 1-May-1994 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 246 |
| Start Page: | 2 |
| End Page: | 27 |
| Abstract: | Let v and µ be finite positive measures on the open unit disk D. We say that v and µ satisfy the ( v ,µ )-Carleson inequality, if there is a constant C > 0 such that 111 dv C D 111 dµ for all analytic polynomials 1 . In this paper, we study the necessary and sufficient condition for the ( v , µ )-Carleson inequality. We establish it when v or µ is an absolutely continuous measure with respect to the Lebesgue area measure which satisfies the (A )-condition. Moreover, many concrete examples of such measures are given. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/68997 |
| 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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