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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...

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

    Taylor and Francis 2010; US$ 154.95

    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...

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

    Taylor and Francis 2010; US$ 119.95

    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 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$ 80.00

    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...