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Bellman Function for Extremal Problems in BMO II: Evolution
 
Paata Ivanisvili Kent State University, Kent, OH, USA
Dmitriy M. Stolyarov St. Petersburg State University, St. Petersburg, Russia
Vasily I. Vasyunin Steklov Mathematical Institute, Russian Academy of Sciences, St. Petersburg, Russia
Pavel B. Zatitskiy St. Petersburg State University, St. Petersburg, Russia
Bellman Function for Extremal Problems in BMO II: Evolution
Softcover ISBN:  978-1-4704-2954-6
Product Code:  MEMO/255/1220
List Price: $78.00
MAA Member Price: $70.20
AMS Member Price: $46.80
eBook ISBN:  978-1-4704-4817-2
Product Code:  MEMO/255/1220.E
List Price: $78.00
MAA Member Price: $70.20
AMS Member Price: $46.80
Softcover ISBN:  978-1-4704-2954-6
eBook: ISBN:  978-1-4704-4817-2
Product Code:  MEMO/255/1220.B
List Price: $156.00 $117.00
MAA Member Price: $140.40 $105.30
AMS Member Price: $93.60 $70.20
Bellman Function for Extremal Problems in BMO II: Evolution
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Bellman Function for Extremal Problems in BMO II: Evolution
Paata Ivanisvili Kent State University, Kent, OH, USA
Dmitriy M. Stolyarov St. Petersburg State University, St. Petersburg, Russia
Vasily I. Vasyunin Steklov Mathematical Institute, Russian Academy of Sciences, St. Petersburg, Russia
Pavel B. Zatitskiy St. Petersburg State University, St. Petersburg, Russia
Softcover ISBN:  978-1-4704-2954-6
Product Code:  MEMO/255/1220
List Price: $78.00
MAA Member Price: $70.20
AMS Member Price: $46.80
eBook ISBN:  978-1-4704-4817-2
Product Code:  MEMO/255/1220.E
List Price: $78.00
MAA Member Price: $70.20
AMS Member Price: $46.80
Softcover ISBN:  978-1-4704-2954-6
eBook ISBN:  978-1-4704-4817-2
Product Code:  MEMO/255/1220.B
List Price: $156.00 $117.00
MAA Member Price: $140.40 $105.30
AMS Member Price: $93.60 $70.20
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 2552018; 136 pp
    MSC: Primary 42; 26; 52; 35

    In a previous study, the authors built the Bellman function for integral functionals on the \(\mathrm{BMO}\) space. The present paper provides a development of the subject. They abandon the majority of unwanted restrictions on the function that generates the functional. It is the new evolutional approach that allows the authors to treat the problem in its natural setting. What is more, these new considerations lighten dynamical aspects of the Bellman function, in particular, the evolution of its picture.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. Setting and sketch of proof
    • 3. Patterns for Bellman candidates
    • 4. Evolution of Bellman candidates
    • 5. Optimizers
    • 6. Related questions and further development
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 2552018; 136 pp
MSC: Primary 42; 26; 52; 35

In a previous study, the authors built the Bellman function for integral functionals on the \(\mathrm{BMO}\) space. The present paper provides a development of the subject. They abandon the majority of unwanted restrictions on the function that generates the functional. It is the new evolutional approach that allows the authors to treat the problem in its natural setting. What is more, these new considerations lighten dynamical aspects of the Bellman function, in particular, the evolution of its picture.

  • Chapters
  • 1. Introduction
  • 2. Setting and sketch of proof
  • 3. Patterns for Bellman candidates
  • 4. Evolution of Bellman candidates
  • 5. Optimizers
  • 6. Related questions and further development
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.