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Perspectives in Partial Differential Equations, Harmonic Analysis and Applications: A Volume in Honor of Vladimir G. Maz′ya’s 70th Birthday
 
Edited by: Dorina Mitrea University of Missouri, Columbia, MO
Marius Mitrea University of Missouri, Columbia, MO
Perspectives in Partial Differential Equations, Harmonic Analysis and Applications
Hardcover ISBN:  978-0-8218-4424-3
Product Code:  PSPUM/79
List Price: $139.00
MAA Member Price: $125.10
AMS Member Price: $111.20
eBook ISBN:  978-0-8218-9386-9
Product Code:  PSPUM/79.E
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Hardcover ISBN:  978-0-8218-4424-3
eBook: ISBN:  978-0-8218-9386-9
Product Code:  PSPUM/79.B
List Price: $274.00 $206.50
MAA Member Price: $246.60 $185.85
AMS Member Price: $219.20 $165.20
Perspectives in Partial Differential Equations, Harmonic Analysis and Applications
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Perspectives in Partial Differential Equations, Harmonic Analysis and Applications: A Volume in Honor of Vladimir G. Maz′ya’s 70th Birthday
Edited by: Dorina Mitrea University of Missouri, Columbia, MO
Marius Mitrea University of Missouri, Columbia, MO
Hardcover ISBN:  978-0-8218-4424-3
Product Code:  PSPUM/79
List Price: $139.00
MAA Member Price: $125.10
AMS Member Price: $111.20
eBook ISBN:  978-0-8218-9386-9
Product Code:  PSPUM/79.E
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Hardcover ISBN:  978-0-8218-4424-3
eBook ISBN:  978-0-8218-9386-9
Product Code:  PSPUM/79.B
List Price: $274.00 $206.50
MAA Member Price: $246.60 $185.85
AMS Member Price: $219.20 $165.20
  • Book Details
     
     
    Proceedings of Symposia in Pure Mathematics
    Volume: 792008; 423 pp
    MSC: Primary 01; 26; 31; 34; 42; 46; 35; 74

    V. G. Maz′ya is widely regarded as a truly outstanding mathematician whose work spans 50 years and covers many areas of mathematical analysis.

    This volume contains a unique collection of papers contributed on the occasion of Maz′ya's 70th birthday by a distinguished group of experts of international stature in the fields of Harmonic Analysis, Partial Differential Equations, Function Theory, Spectral Analysis, and History of Mathematics, reflecting the state of the art in these areas, in which Maz′ya himself has made some of his most significant contributions.

    Readership

    Research mathematicians interested in partial differential equations.

  • Table of Contents
     
     
    • Articles
    • N. Arcozzi, R. Rochberg and E. Sawyer — Capacity, Carleson measures, boundary convergence, and exceptional sets [ MR 2500486 ]
    • Jean Bourgain — On the absence of dynamical localization in higher dimensional random Schrödinger operators [ MR 2500487 ]
    • Haïm Brezis and Jean Van Schaftingen — Circulation integrals and critical Sobolev spaces: problems of optimal constants [ MR 2500488 ]
    • Luca Capogna, Nicola Garofalo and Duy-Minh Nhieu — Mutual absolute continuity of harmonic and surface measures for Hörmander type operators [ MR 2500489 ]
    • Lars Gårding — Soviet-Russian and Swedish mathematical contacts after the war. A personal account [ MR 2500490 ]
    • Fritz Gesztesy and Marius Mitrea — Generalized Robin boundary conditions, Robin-to-Dirichlet maps, and Krein-type resolvent formulas for Schrödinger operators on bounded Lipschitz domains [ MR 2500491 ]
    • Steve Hofmann — A local $Tb$ theorem for square functions [ MR 2500492 ]
    • Jean-Pierre Kahane — Partial differential equations, trigonometric series, and the concept of function around 1800: a brief story about Lagrange and Fourier [ MR 2500493 ]
    • Carlos E. Kenig — Quantitative unique continuation, logarithmic convexity of Gaussian means and Hardy’s uncertainty principle [ MR 2500494 ]
    • John L. Lewis, Niklas Lundström and Kaj Nyström — Boundary Harnack inequalities for operators of $p$-Laplace type in Reifenberg flat domains [ MR 2500495 ]
    • M. Lilli and J. F. Toland — Waves on a steady stream with vorticity [ MR 2500496 ]
    • Fedor Nazarov and Alexander Volberg — On analytic capacity of portions of continuum and a question of T. Murai [ MR 2500497 ]
    • Barry Simon — The Christoffel-Darboux kernel [ MR 2500498 ]
    • Michael E. Taylor — A Saint-Venant principle for Lipschitz cylinders [ MR 2500499 ]
    • Hans Triebel — Wavelets in function spaces [ MR 2500500 ]
    • I. E. Verbitsky — Weighted norm inequalities with positive and indefinite weights [ MR 2500501 ]
    • Moises Venouziou and Gregory C. Verchota — The mixed problem for harmonic functions in polyhedra of $\mathbb {R}^3$ [ MR 2500502 ]
  • 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: 792008; 423 pp
MSC: Primary 01; 26; 31; 34; 42; 46; 35; 74

V. G. Maz′ya is widely regarded as a truly outstanding mathematician whose work spans 50 years and covers many areas of mathematical analysis.

This volume contains a unique collection of papers contributed on the occasion of Maz′ya's 70th birthday by a distinguished group of experts of international stature in the fields of Harmonic Analysis, Partial Differential Equations, Function Theory, Spectral Analysis, and History of Mathematics, reflecting the state of the art in these areas, in which Maz′ya himself has made some of his most significant contributions.

Readership

Research mathematicians interested in partial differential equations.

  • Articles
  • N. Arcozzi, R. Rochberg and E. Sawyer — Capacity, Carleson measures, boundary convergence, and exceptional sets [ MR 2500486 ]
  • Jean Bourgain — On the absence of dynamical localization in higher dimensional random Schrödinger operators [ MR 2500487 ]
  • Haïm Brezis and Jean Van Schaftingen — Circulation integrals and critical Sobolev spaces: problems of optimal constants [ MR 2500488 ]
  • Luca Capogna, Nicola Garofalo and Duy-Minh Nhieu — Mutual absolute continuity of harmonic and surface measures for Hörmander type operators [ MR 2500489 ]
  • Lars Gårding — Soviet-Russian and Swedish mathematical contacts after the war. A personal account [ MR 2500490 ]
  • Fritz Gesztesy and Marius Mitrea — Generalized Robin boundary conditions, Robin-to-Dirichlet maps, and Krein-type resolvent formulas for Schrödinger operators on bounded Lipschitz domains [ MR 2500491 ]
  • Steve Hofmann — A local $Tb$ theorem for square functions [ MR 2500492 ]
  • Jean-Pierre Kahane — Partial differential equations, trigonometric series, and the concept of function around 1800: a brief story about Lagrange and Fourier [ MR 2500493 ]
  • Carlos E. Kenig — Quantitative unique continuation, logarithmic convexity of Gaussian means and Hardy’s uncertainty principle [ MR 2500494 ]
  • John L. Lewis, Niklas Lundström and Kaj Nyström — Boundary Harnack inequalities for operators of $p$-Laplace type in Reifenberg flat domains [ MR 2500495 ]
  • M. Lilli and J. F. Toland — Waves on a steady stream with vorticity [ MR 2500496 ]
  • Fedor Nazarov and Alexander Volberg — On analytic capacity of portions of continuum and a question of T. Murai [ MR 2500497 ]
  • Barry Simon — The Christoffel-Darboux kernel [ MR 2500498 ]
  • Michael E. Taylor — A Saint-Venant principle for Lipschitz cylinders [ MR 2500499 ]
  • Hans Triebel — Wavelets in function spaces [ MR 2500500 ]
  • I. E. Verbitsky — Weighted norm inequalities with positive and indefinite weights [ MR 2500501 ]
  • Moises Venouziou and Gregory C. Verchota — The mixed problem for harmonic functions in polyhedra of $\mathbb {R}^3$ [ MR 2500502 ]
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.