Taylor coefficients and coefficient multipliers of Hardy and Bergman-type spaces
著者
書誌事項
Taylor coefficients and coefficient multipliers of Hardy and Bergman-type spaces
(RSME Springer series, v. 2)
Springer, c2016
大学図書館所蔵 全7件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
Includes bibliographical references and index
内容説明・目次
内容説明
This book provides a systematic overview of the theory of Taylor coefficients of functions in some classical spaces of analytic functions and especially of the coefficient multipliers between spaces of Hardy type. Offering a comprehensive reference guide to the subject, it is the first of its kind in this area. After several introductory chapters covering the basic material, a large variety of results obtained over the past 80 years, including the most recent ones, are treated in detail.
Several chapters end with discussions of practical applications and related topics that graduate students and experts in other subjects may find useful for their own purposes. Thus, a further aim of the book is to communicate to non-specialists some concrete facts that may be of value in their own work. The book can also be used as a textbook or a supplementary reference for an advanced graduate course. It is primarily intended for specialists in complex and functional analysis, graduate students, and experts in other related fields.
目次
1 Basic Spaces. Multipliers.- 2 The Poisson Integral.- 3 Subharmonic and h-subharmonic Functions.- 4 Hardy Spaces of Analytic Functions.- 5 Carleson Measures, Mean Oscillation Spaces and Duality.- 6 Polynomial Approximation and Taylor Coefficients of Hp Functions.- 7 The Mixed Norm Spaces Hp,q, .- 8 Hp,q, as a Sequence Space.- 9 Tensor Products and Multipliers.- 10 Duality and Multipliers.- 11 Multipliers From Hp and Hp,q, Spaces to s.- 12 Multiplier Spaces (Hp,q, ,Hu,v, ) and (Hp,Hu).- 13 Multipliers of Some Large Spaces of Analytic Functions.- 14 The Hilbert Matrix Operator.
「Nielsen BookData」 より