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Function spaces

Most popular at the top

  • 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...

  • Isometries on Banach Spacesby Richard J. Fleming; James E. Jamison

    CRC Press 2002; US$ 159.95

    Fundamental to the study of any mathematical structure is an understanding of its symmetries. In the class of Banach spaces, this leads naturally to a study of isometries-the linear transformations that preserve distances. In his foundational treatise, Banach showed that every linear isometry on the space of continuous functions on a compact metric... 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...

  • 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

    Until now, no book has systematically presented the recently developed concept of envelopes in function spaces. Envelopes are relatively simple tools for the study of classical and more complicated spaces, such as Besov and Triebel-Lizorkin types, in limiting situations. This theory originates from the classical result of the Sobolev embedding theorem,... 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 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...

  • Lipschitz Algebrasby N. Weaver

    World Scientific Publishing Company 1999; US$ 107.00

    The Lipschitz algebras Lip(M), for M a complete metric space, are quite analogous to the spaces C(Ω) and L ∞ (X), for Ω a compact Hausdorff space and X a σ-finite measure space. Although the Lipschitz algebras have not been studied as thoroughly as these better-known cousins, it is becoming increasingly clear that they play... more...

  • 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...

  • 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...