Logo - springer
Slogan - springer

Mathematics - Analysis | Around the Research of Vladimir Maz'ya I

Around the Research of Vladimir Maz'ya I

Function Spaces

Laptev, Ari (Ed.)

Jointly published with Tamara Rozhkovskaya Publisher, Novosibirsk, Russia

2010, XXII, 398p. 3 illus..

Available Formats:
eBook
Information

Springer eBooks may be purchased by end-customers only and are sold without copy protection (DRM free). Instead, all eBooks include personalized watermarks. This means you can read the Springer eBooks across numerous devices such as Laptops, eReaders, and tablets.

You can pay for Springer eBooks with Visa, Mastercard, American Express or Paypal.

After the purchase you can directly download the eBook file or read it online in our Springer eBook Reader. Furthermore your eBook will be stored in your MySpringer account. So you can always re-download your eBooks.

 
$159.00

(net) price for USA

ISBN 978-1-4419-1341-8

digitally watermarked, no DRM

Included Format: PDF

download immediately after purchase


learn more about Springer eBooks

add to marked items

Hardcover
Information

Hardcover version

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.

 
$199.00

(net) price for USA

ISBN 978-1-4419-1340-1

free shipping for individuals worldwide

usually dispatched within 3 to 5 business days

Also available as a set for $349.00


add to marked items

Softcover
Information

Softcover (also known as softback) version.

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.

 
$199.00

(net) price for USA

ISBN 978-1-4614-2547-2

free shipping for individuals worldwide

usually dispatched within 3 to 5 business days


add to marked items

  • Contains new results on actual topics of function spaces presented by leading specialists and connected with earlier fundamental results of Prof. Maz'ya
  • The volume is totally different from all published books honoring Prof. Maz'ya
  • Focuses on the current state of research in analysis, PDEs and function theory, detailing recent advances
  • All the results are new and have never been published before

International Mathematical Series Volume 11
Around the Research of Vladimir Ma'z'ya I
Function Spaces
Edited by Ari Laptev 

Professor Maz'ya is one of the foremost authorities in various fields of functional analysis and partial differential equations. In particular, Maz'ya is a proiminent figure in the development of the theory of Sobolev spaces. He is the author of the well-known monograph Sobolev Spaces (Springer, 1985).

Professor Maz'ya is one of the foremost authorities in various fields of functional analysis and partial differential equations. In particular, Maz'ya is a proiminent figure in the development of the theory of Sobolev spaces. He is the author of the well-known monograph Sobolev Spaces (Springer, 1985). The following topics are discussed in this volume: Orlicz-Sobolev spaces, weighted Sobolev spaces, Besov spaces with negative exponents, Dirichlet spaces and related variational capacities, classical inequalities, including Hardy inequalities (multidimensional versions, the case of fractional Sobolev spaces etc.), Hardy-Maz'ya-Sobolev inequalities, analogs of Maz'ya's isocapacitary inequalities in a measure-metric space setting, Hardy type, Sobolev, Poincare, and pseudo-Poincare inequalities in different contexts including Riemannian manifolds, measure-metric spaces, fractal domains etc., Mazya's capacitary analogue of the coarea inequality in metric probability spaces, sharp constants, extension operators, geometry of hypersurfaces in Carnot groups, Sobolev homeomorphisms, a converse to the Maz'ya inequality for capacities and applications of Maz'ya's capacity method.

Contributors include: Farit Avkhadiev (Russia) and Ari Laptev (UK—Sweden); Sergey Bobkov (USA) and Boguslaw Zegarlinski (UK); Andrea Cianchi (Italy); Martin Costabel (France), Monique Dauge (France), and Serge Nicaise (France); Stathis Filippas (Greece), Achilles Tertikas (Greece), and Jesper Tidblom (Austria); Rupert L. Frank (USA) and Robert Seiringer (USA); Nicola Garofalo (USA-Italy) and Christina Selby (USA); Vladimir Gol'dshtein (Israel) and Aleksandr Ukhlov (Israel); Niels Jacob (UK) and Rene L. Schilling (Germany); Juha Kinnunen (Finland) and Riikka Korte (Finland); Pekka Koskela (Finland), Michele Miranda Jr. (Italy), and Nageswari Shanmugalingam (USA); Moshe Marcus (Israel) and Laurent Veron (France); Joaquim Martin (Spain) and Mario Milman (USA); Eric Mbakop (USA) and Umberto Mosco (USA ); Emanuel Milman (USA); Laurent Saloff-Coste (USA); Jie Xiao (USA)

Ari Laptev -Imperial College London (UK) and Royal Institute of Technology (Sweden). Ari Laptev is a world-recognized specialist in Spectral Theory of Differential Operators. He is the President of the European Mathematical Society for the period 2007- 2010.

Tamara Rozhkovskaya - Sobolev Institute of Mathematics SB RAS (Russia) and an  independent publisher. Editors and Authors are exclusively invited to contribute to volumes highlighting recent advances in various fields of mathematics by the Series Editor and a founder of the IMS Tamara Rozhkovskaya.

Cover image: Vladimir Maz'ya

Content Level » Research

Keywords » Capacity - Embeddings - Sobolev space - Sobolev spaces - Sobolev type inequality - calculus - differential equation - distribution - linear optimization

Related subjects » Analysis - Dynamical Systems & Differential Equations

Table of contents / Sample pages 

Hardy Inequalities for Nonconvex Domains, F. Avkhadiev, A. Laptev.- Distributions with Slow Tails and Ergodicity of Markov Semigroups in Infinite Dimensions, S. Bobkov, B. Zegarlinski.- On Some Aspects of the Theory of Orlicz-Sobolev Spaces, A. Cianchi.- Mellin Analysis of Weighted Sobolev Spaces with Nonhomogeneous Norms on Cones, M. Costabel et al.- Optimal Hardy-Sobolev-Maz'ya Inequalities with Multiple Interior Singularities, S. Filippas et al.- Sharp Fractional Hardy Inequalities in Half-Spaces, R.L. Frank, R. Seiringer.- Collapsing Riemannian Metrics to Sub-Riemannian and the Geometry of Hypersurfaces in Carnot Groups, N. Garofalo, C. Selby.- Sobolev Homeomorphisms and Composition Operators, V. Gol'dshtein, A. Ukhlov.- Extended Lp Dirichlet Spaces, N. Jacob, R.L. Schilling.- Characterizations for the Hardy Inequality, J. Kinnunen, R. Korte.- Geometric Properties of Planar BV-Extension Domains, P. Koskela et al.- On a New Characterization of Besov Spaces with Negative Exponents, M. Marcus, L. Véron.- Isoperimetric Hardy Type and Poincare Inequalities on Metric Spaces, J. Martin, M. Milman.- Gauge Functions and Sobolev Inequalities on Fluctuating Domains, E. Mbakop, U. Mosco.- A Converse to Maz'ya's Inequality for Capacities under Curvature Lower Bound, E. Milman.- Pseudo-Poincaré Inequalities and Applications to Sobolev Inequalities, L. Saloff-Coste.- The p-Faber-Krahn Inequality Noted, J. Xiao.

Popular Content within this publication 

 

Articles

Read this Book on Springerlink

Services for this book

New Book Alert

Get alerted on new Springer publications in the subject area of Analysis.