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Taylor Coefficients and Coefficient Multipliers of Hardy and Bergman-Type Spaces

  • Miroljub  Jevtić
  • Dragan  Vukotić
  • Miloš  Arsenović

Part of the RSME Springer Series book series (RSME, volume 2)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Miroljub Jevtić, Dragan Vukotić, Miloš Arsenović
    Pages 1-13
  3. Miroljub Jevtić, Dragan Vukotić, Miloš Arsenović
    Pages 15-31
  4. Miroljub Jevtić, Dragan Vukotić, Miloš Arsenović
    Pages 33-56
  5. Miroljub Jevtić, Dragan Vukotić, Miloš Arsenović
    Pages 57-89
  6. Miroljub Jevtić, Dragan Vukotić, Miloš Arsenović
    Pages 91-106
  7. Miroljub Jevtić, Dragan Vukotić, Miloš Arsenović
    Pages 107-143
  8. Miroljub Jevtić, Dragan Vukotić, Miloš Arsenović
    Pages 145-177
  9. Miroljub Jevtić, Dragan Vukotić, Miloš Arsenović
    Pages 179-194
  10. Miroljub Jevtić, Dragan Vukotić, Miloš Arsenović
    Pages 195-211
  11. Miroljub Jevtić, Dragan Vukotić, Miloš Arsenović
    Pages 213-235
  12. Miroljub Jevtić, Dragan Vukotić, Miloš Arsenović
    Pages 237-245
  13. Miroljub Jevtić, Dragan Vukotić, Miloš Arsenović
    Pages 247-279
  14. Miroljub Jevtić, Dragan Vukotić, Miloš Arsenović
    Pages 281-291
  15. Miroljub Jevtić, Dragan Vukotić, Miloš Arsenović
    Pages 293-316
  16. Back Matter
    Pages 317-323

About this book

Introduction

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.

Keywords

Taylor coefficients Coefficient multipliers Hardy and Bergman spaces Projections Duality

Authors and affiliations

  • Miroljub  Jevtić
    • 1
  • Dragan  Vukotić
    • 2
  • Miloš  Arsenović
    • 3
  1. 1.Faculty of MathematicsUniversity of BelgradeBelgradeSerbia
  2. 2.Departamento de MatemáticasUniversidad Autónoma de MadridMadridSpain
  3. 3.Faculty of MathematicsUniversity of BelgradeBelgradeSerbia

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-45644-7
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-45643-0
  • Online ISBN 978-3-319-45644-7
  • Series Print ISSN 2509-8888
  • Series Online ISSN 2509-8896
  • Buy this book on publisher's site
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