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  • © 2010

Around the Research of Vladimir Maz'ya III

Analysis and Applications

Editors:

  • Professor Maz'ya has received numerous awards for his outstanding contributions, in particular, the Humboldt Research Prize (1999), the Verdaguer Prize of the French Academy of Sciences (2003)
  • He was elected to the Royal Society of Edinburgh (2001) and the Royal Swedish Academy of Sciences (2002)
  • Several international conferences were organised for the occasion of his 60th birthday
  • There are several collections of papers honored Prof. Maz'ya. Prof. Maz'ya published more than 20 monographs and more than 450 articles. The range of his interests is very wide and many of his results play a key role in many areas of analysis and PDEs.
  • Nevertheless, the presented volume is absolutely different from all published books honored V. Maz'ya:
  • It focuses on the current state of research in analysis, PDEs and function theory, detailing recent advances, selected in relation to Mazy’as results.
  • All the results are new and never published earlier
  • The mentioned collections present proceedings of conferences in honor of V. Maz'ya and contributors are participants of these conferences. In this volume contributors and contributions were selected in accordance with the main idea of the volume
  • Includes supplementary material: sn.pub/extras

Part of the book series: International Mathematical Series (IMAT, volume 13)

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-xxi
  2. Optimal Control of a Biharmonic Obstacle Problem

    • David R. Adams, Volodymyr Hrynkiv, Suzanne Lenhart
    Pages 1-24
  3. Global Green’s Function Estimates

    • Michael W. Frazier, Igor E. Verbitsky
    Pages 105-152
  4. On Spectral Minimal Partitions: the Case of the Sphere

    • Bernard Helffer, Thomas Hoffmann-Ostenhof, Susanna Terracini
    Pages 153-178
  5. Weighted Sobolev Space Estimates for a Class of Singular Integral Operators

    • Dorina Mitrea, Marius Mitrea, Sylvie Monniaux
    Pages 179-200
  6. On General Cwikel–Lieb–Rozenblum and Lieb–Thirring Inequalities

    • Stanislav Molchanov, Boris Vainberg
    Pages 201-246
  7. W 2,p-Theory of the Poincaré Problem

    • Dian K. Palagachev
    Pages 259-278
  8. Finite Rank Toeplitz Operators in the Bergman Space

    • Grigori Rozenblum
    Pages 331-358
  9. Back Matter

    Pages 385-388

About this book

This volume reflects the variety of areas where Maz'ya's results are fundamental, influential and/or pioneering. New advantages in such areas are presented by world-recognized experts and include, in particularly, Beurling's minimum principle, inverse hyperbolic problems, degenerate oblique derivative problems, the Lp-contractivity of the generated semigroups, some class of singular integral operators, general Cwikel-Lieb-Rozenblum and Lieb-Thirring inequalities,domains with rough boundaries, integral and supremum operators, finite rank Toeplitz operators, etc.

Editors and Affiliations

  • Department of Mathematics, Imperial College, London, United Kingdom

    Ari Laptev

Bibliographic Information

  • Book Title: Around the Research of Vladimir Maz'ya III

  • Book Subtitle: Analysis and Applications

  • Editors: Ari Laptev

  • Series Title: International Mathematical Series

  • DOI: https://doi.org/10.1007/978-1-4419-1345-6

  • Publisher: Springer New York, NY

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer-Verlag New York 2010

  • Hardcover ISBN: 978-1-4419-1344-9Published: 12 February 2010

  • Softcover ISBN: 978-1-4614-2551-9Published: 03 May 2012

  • eBook ISBN: 978-1-4419-1345-6Published: 25 November 2009

  • Series ISSN: 1571-5485

  • Series E-ISSN: 1574-8944

  • Edition Number: 1

  • Number of Pages: XXI, 386

  • Number of Illustrations: 3 b/w illustrations

  • Additional Information: Jointly published with Tamara Rozhkovskaya Publisher, Novosibirsk, Russia

  • Topics: Analysis, Partial Differential Equations, Functional Analysis

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access