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Function spaces

  • Differential Operators on Spaces of Variable Integrabilityby David E. Edmunds; Jan Lang; Osvaldo Méndez

    World Scientific Publishing Company 2014; US$ 75.00

    The theory of Lebesgue and Sobolev spaces with variable integrability is experiencing a steady expansion, and is the subject of much vigorous research by functional analysts, function-space analysts and specialists in nonlinear analysis. These spaces have attracted attention not only because of their intrinsic mathematical importance as natural, interesting... more...

  • Self-Validating Numerics for Function Space Problemsby Edgar W. Kaucher; Willard L. Miranker; Werner Rheinboldt

    Elsevier Science 2014; US$ 72.95

    Self-Validating Numerics for Function Space Problems describes the development of computational methods for solving function space problems, including differential, integral, and function equations. This seven-chapter text highlights three approaches, namely, the E-methods, ultra-arithmetic, and computer arithmetic. After a brief overview of the... more...

  • Function Spaces, 1by Lubo? Pick; Alois Kufner; Oldrich John; Svatopluk Fucík

    De Gruyter 2012; US$ 196.00

    This is the first part of the second revised and extended edition of a well established monograph. It is an introduction to function spaces defined in terms of differentiability and integrability classes. It provides a catalogue of various spaces and benefits as a handbook for those who use function spaces to study other topics such as... more...

  • Noncommutative Functional Calculusby Fabrizio Colombo; Irene Sabadini; Daniele C. Struppa

    Springer Basel 2011; US$ 129.00

    This exposition of the new functional calculus methodology, as well as its analog for quaternionic linear operators is informed by the recently developed theory of hyperholomorphicity and is ideal for application to n-tuples of non-commuting linear operators. more...

  • Sobolev Spaces in Mathematics IIIby

    Springer New York 2008; US$ 259.00

    This volume, marking the centenary of S.L. Sobolev?s birth, presents the latest the results on some important problems of mathematical physics. The book contains two short biographical articles and unique archive photos of S. Sobolev. more...

  • Sobolev Spaces in Mathematics Iby Vladimir Maz'ya

    Springer New York 2008; US$ 259.00

    This volume mark?s the centenary of the birth of the outstanding mathematician of the 20th century, Sergey Sobolev. It includes new results on the latest topics of the theory of Sobolev spaces, partial differential equations, analysis and mathematical physics. more...

  • Sobolev Spaces in Mathematics IIby

    Springer New York 2008; US$ 259.00

    Sobolev spaces are the universal language of partial differential equations and mathematical analysis. This volume presents new results on the latest topics of the theory of Sobolev spaces, partial differential equations, analysis and mathematical physics. more...

  • An Introduction to Sobolev Spaces and Interpolation Spacesby Luc Tartar

    Springer Berlin Heidelberg 2007; US$ 69.95

    After publishing an introduction to the Navier?Stokes equation and oceanography (Vol. 1 of this series), Luc Tartar follows with another set of lecture notes based on a graduate course in two parts, as indicated by the title. A draft has been available on the internet for a few years. The author has now revised and polished it into a text accessible... more...

  • Envelopes and Sharp Embeddings of Function Spacesby Dorothee D. Haroske

    CRC Press 2006; US$ 125.95

    Preface DEFINITION, BASIC PROPERTIES, AND FIRST EXAMPLES Introduction Preliminaries, Classical Function Spaces Non-increasing rearrangements Lebesgue and Lorentz spaces Spaces of continuous functions Sobolev spaces Sobolev?s embedding theorem The Growth Envelope Function E G Definition and basic properties Examples:... more...

  • Theory of Function Spaces IIIby Hans Triebel

    Birkhäuser Basel 2006; US$ 189.00

    This book may be considered as the continuation of the monographs [Tri?]and [Tri?] with the same title. It deals with the theory of function spaces of type s s B and F as it stands at the beginning of this century. These two scales of pq pq spacescovermanywell-knownspacesoffunctionsanddistributionssuchasH¨ older- Zygmundspaces,(fractionalandclassical)Sobolevspaces,BesovspacesandHardy... more...