Coverart for item
The Resource Around the research of Vladimir Maz'ya, Volume 1, Function spaces, edited by Ari Laptev

Around the research of Vladimir Maz'ya, Volume 1, Function spaces, edited by Ari Laptev

Label
Around the research of Vladimir Maz'ya, Volume 1, Function spaces
Title
Around the research of Vladimir Maz'ya
Title number
Volume 1
Title part
Function spaces
Statement of responsibility
edited by Ari Laptev
Contributor
Subject
Language
eng
Summary
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
Member of
Cataloging source
GW5XE
Dewey number
515.73
Index
index present
LC call number
QA323
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Laptev, Ari
Series statement
International mathematics series
Series volume
11
http://library.link/vocab/subjectName
  • Mazʹi︠a︡, V. G
  • Function spaces
  • Mazʹi︠a︡, V. G
  • MATHEMATICS
  • Function spaces
Label
Around the research of Vladimir Maz'ya, Volume 1, Function spaces, edited by Ari Laptev
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Hardy Inequalities for Nonconvex Domains -- Distributions with Slow Tails and Ergodicity of Markov Semigroups in Infinite Dimensions -- On Some Aspects of the Theory of Orlicz#x2013;Sobolev Spaces -- Mellin Analysis of Weighted Sobolev Spaces with Nonhomogeneous Norms on Cones -- Optimal Hardy#x2014;Sobolev#x2014;Maz#x2019;ya Inequalities with Multiple Interior Singularities -- Sharp Fractional Hardy Inequalities in Half-Spaces -- Collapsing Riemannian Metrics to Sub-Riemannian and the Geometry of Hypersurfaces in Carnot Groups -- Sobolev Homeomorphisms and Composition Operators -- Extended Dirichlet Spaces -- Characterizations for the Hardy Inequality -- Geometric Properties of Planar -Extension Domains -- On a New Characterization of Besov Spaces with Negative Exponents -- Isoperimetric Hardy Type and Poincar#x00E9; Inequalities on Metric Spaces -- Gauge Functions and Sobolev Inequalities on Fluctuating Domains -- A Converse to the Maz#x2019;ya Inequality for Capacities under Curvature Lower Bound -- Pseudo-Poincar#x00E9; Inequalities and Applications to Sobolev Inequalities -- The -Faber-Krahn Inequality Noted
Control code
567139746
Dimensions
unknown
Extent
1 online resource (xxi, 395 pages).
Form of item
online
Isbn
9781441913418
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
http://library.link/vocab/ext/overdrive/overdriveId
978-1-4419-1340-1
Specific material designation
remote
System control number
(OCoLC)567139746
Label
Around the research of Vladimir Maz'ya, Volume 1, Function spaces, edited by Ari Laptev
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Hardy Inequalities for Nonconvex Domains -- Distributions with Slow Tails and Ergodicity of Markov Semigroups in Infinite Dimensions -- On Some Aspects of the Theory of Orlicz#x2013;Sobolev Spaces -- Mellin Analysis of Weighted Sobolev Spaces with Nonhomogeneous Norms on Cones -- Optimal Hardy#x2014;Sobolev#x2014;Maz#x2019;ya Inequalities with Multiple Interior Singularities -- Sharp Fractional Hardy Inequalities in Half-Spaces -- Collapsing Riemannian Metrics to Sub-Riemannian and the Geometry of Hypersurfaces in Carnot Groups -- Sobolev Homeomorphisms and Composition Operators -- Extended Dirichlet Spaces -- Characterizations for the Hardy Inequality -- Geometric Properties of Planar -Extension Domains -- On a New Characterization of Besov Spaces with Negative Exponents -- Isoperimetric Hardy Type and Poincar#x00E9; Inequalities on Metric Spaces -- Gauge Functions and Sobolev Inequalities on Fluctuating Domains -- A Converse to the Maz#x2019;ya Inequality for Capacities under Curvature Lower Bound -- Pseudo-Poincar#x00E9; Inequalities and Applications to Sobolev Inequalities -- The -Faber-Krahn Inequality Noted
Control code
567139746
Dimensions
unknown
Extent
1 online resource (xxi, 395 pages).
Form of item
online
Isbn
9781441913418
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
http://library.link/vocab/ext/overdrive/overdriveId
978-1-4419-1340-1
Specific material designation
remote
System control number
(OCoLC)567139746

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