2022-05-22T17:42:05Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/689972018-10-10T00:36:23Zhdl_2115_45007hdl_2115_116(A_2)-Conditions and Carleson InequalitiesNakazi, T.Yamada, M.(A2)-conditionCarleson inequalityBergman spacespolynomial410Let 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.Departmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/68997info:doi/10.14943/83393https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/68997/1/pre246.pdfHokkaido University Preprint Series in Mathematics2462271994-05-01engpublisher