Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Science / Faculty of Science >
Hokkaido University Preprint Series in Mathematics >
(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
|
Submitter: 数学紀要登録作業用
|