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Function spaces

Most popular at the top

  • Differentiable Functions on Bad Domainsby V.Maz- Ya; S. Pobozchi

    World Scientific Publishing Company 1998; US$ 178.00

    The spaces of functions with derivatives in L p , called the Sobolev spaces, play an important role in modern analysis. During the last decades, these spaces have been intensively studied and by now many problems associated with them have been solved. However, the theory of these function classes for domains with nonsmooth boundaries is still in an... 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...

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

    CRC Press 2002; US$ 159.95

    BEGINNINGS Introduction Banach's Characterization of Isometries on C(Q) The Mazur-Ulam Theorem Orthogonality The Wold Decomposition Notes and Remarks CONTINUOUS FUNCTION SPACES--THE BANACK-STONE THEOREM Introduction Eilenberg's Theorem The Nonsurjective case A Theorem of Vesentini Notes and Remarks THE L(p) SPACES Introduction Lamperti's Results Subspaces... 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...

  • Sobolev Spaces in Mathematics IIIby Victor Isakov

    Springer 2008; US$ 259.00

    Dedicated to the centenary of S L Sobolev, this title presents the results on some important problems of mathematical physics, describing, in particular, phenomena of superconductivity with random fluctuations, wave propagation, perforated domains and bodies with defects of different types, and spectral asymptotics for Dirac energy. more...

  • Sobolev Spaces In Mathematics Iby Vladimir Maz?ya

    Springer 2008; US$ 259.00

    Dedicated to the centenary of the outstanding mathematician of the 20th century, Sergey Sobolev, and, in a sense, to his celebrated work on a theorem of functional analysis, this title discusses such topics as: Sobolev-type inequalities on manifolds and metric measure spaces, and traces, inequalities with weights. more...

  • Sobolev Spaces in Mathematics IIby Vladimir Maz'ya

    Springer 2008; US$ 259.00

    Sobolev spaces become the established and universal language of partial differential equations and mathematical analysis. This title includes such topics as: boundary value problems in domains with singularities, higher order partial differential equations, local polynomial approximations, and inequalities in Sobolev-Lorentz spaces. more...

  • Aspects of Sobolev-Type Inequalitiesby Laurent Saloff-Coste

    Cambridge University Press 2001; US$ 84.00

    This book, first published in 2001, is a concise introduction to analysis on manifolds, covering functional inequalities and their applications, for graduates and researchers. 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...