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Local $L^p$-Brunn-Minkowski Inequalities for $p<1$
 
Alexander V. Kolesnikov Higher School of Economics, Moscow, Russia
Emanuel Milman Israel Institute of Technology, Haifa, Israel
Local $L^p$-Brunn-Minkowski Inequalities for $p<1$
Softcover ISBN:  978-1-4704-5160-8
Product Code:  MEMO/277/1360
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7092-0
Product Code:  MEMO/277/1360.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-5160-8
eBook: ISBN:  978-1-4704-7092-0
Product Code:  MEMO/277/1360.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
Local $L^p$-Brunn-Minkowski Inequalities for $p<1$
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Local $L^p$-Brunn-Minkowski Inequalities for $p<1$
Alexander V. Kolesnikov Higher School of Economics, Moscow, Russia
Emanuel Milman Israel Institute of Technology, Haifa, Israel
Softcover ISBN:  978-1-4704-5160-8
Product Code:  MEMO/277/1360
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7092-0
Product Code:  MEMO/277/1360.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-5160-8
eBook ISBN:  978-1-4704-7092-0
Product Code:  MEMO/277/1360.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 2772022; 78 pp
    MSC: Primary 52; 35; 58

    View the abstract.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. Notation
    • 3. Global vs. Local Formulations of the $L^p$-Brunn–Minkowski Conjecture
    • 4. Local $L^p$-Brunn–Minkowski Conjecture – Infinitesimal Formulation
    • 5. Relation to Hilbert–Brunn–Minkowski Operator and Linear Equivariance
    • 6. Obtaining Estimates via the Reilly Formula
    • 7. The second Steklov operator and $B_H(B_2^n)$
    • 8. Unconditional Convex Bodies and the Cube
    • 9. Local log-Brunn–Minkowski via the Reilly Formula
    • 10. Continuity of $B_H$, $B$, $D$ with application to $B_q^n$
    • 11. Local Uniqueness for Even $L^p$-Minkowski Problem
    • 12. Stability Estimates for Brunn–Minkowski and Isoperimetric Inequalities
  • 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: 2772022; 78 pp
MSC: Primary 52; 35; 58

View the abstract.

  • Chapters
  • 1. Introduction
  • 2. Notation
  • 3. Global vs. Local Formulations of the $L^p$-Brunn–Minkowski Conjecture
  • 4. Local $L^p$-Brunn–Minkowski Conjecture – Infinitesimal Formulation
  • 5. Relation to Hilbert–Brunn–Minkowski Operator and Linear Equivariance
  • 6. Obtaining Estimates via the Reilly Formula
  • 7. The second Steklov operator and $B_H(B_2^n)$
  • 8. Unconditional Convex Bodies and the Cube
  • 9. Local log-Brunn–Minkowski via the Reilly Formula
  • 10. Continuity of $B_H$, $B$, $D$ with application to $B_q^n$
  • 11. Local Uniqueness for Even $L^p$-Minkowski Problem
  • 12. Stability Estimates for Brunn–Minkowski and Isoperimetric Inequalities
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
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