nevanlinna型空间的乘数和对偶的表征

IF 0.8 2区数学 Q2 MATHEMATICS

Nagoya Mathematical Journal Pub Date : 2023-09-07 DOI:10.1017/nmj.2023.24

Mieczysław Mastyło, Bartosz Staniów

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引用次数: 0

摘要

研究了由Rudin意义上的强凸函数$\varphi $生成的复平面圆盘上解析函数的nevanlinna型空间$N_\varphi $。对于一类特殊的强凸函数，我们给出了函数在$N_\varphi $中泰勒系数增长的渐近界，并利用这些渐近界刻画了从$N_\varphi $到$H^p$的Hardy空间的系数乘子。作为副产品，我们证明了连续线性泛函在$N_\varphi $上的表示。

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MULTIPLIERS AND CHARACTERIZATION OF THE DUAL OF NEVANLINNA-TYPE SPACES

The Nevanlinna-type spaces

$N_\varphi $

of analytic functions on the disk in the complex plane generated by strongly convex functions

$\varphi $

in the sense of Rudin are studied. We show for some special class of strongly convex functions asymptotic bounds on the growth of the Taylor coefficients of a function in

$N_\varphi $

and use these to characterize the coefficient multipliers from

$N_\varphi $

into the Hardy spaces

$H^p$

with

. As a by-product, we prove a representation of continuous linear functionals on

$N_\varphi $

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来源期刊

Nagoya Mathematical Journal 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： The Nagoya Mathematical Journal is published quarterly. Since its formation in 1950 by a group led by Tadashi Nakayama, the journal has endeavoured to publish original research papers of the highest quality and of general interest, covering a broad range of pure mathematics. The journal is owned by Foundation Nagoya Mathematical Journal, which uses the proceeds from the journal to support mathematics worldwide.