03458nam 2200733 a 450 991046332950332120211028205732.03-11-025042-X10.1515/9783110250428(CKB)2670000000338004(EBL)894068(OCoLC)829462188(SSID)ssj0000833263(PQKBManifestationID)11462175(PQKBTitleCode)TC0000833263(PQKBWorkID)10935586(PQKB)10852183(MiAaPQ)EBC894068(DE-B1597)123220(OCoLC)979761962(OCoLC)984651116(OCoLC)987921645(OCoLC)992471832(OCoLC)999372826(DE-B1597)9783110250428(Au-PeEL)EBL894068(CaPaEBR)ebr10661461(EXLCZ)99267000000033800420130307d2013 uy 0engurcn|||||||||txtccrFunction spaces[electronic resource] Volume 1 /Luboš Pick ... [et al.]2nd rev. and extended ed.Berlin De Gruyter20131 online resource (495 p.)De Gruyter series in nonlinear analysis and applications,0941-813X ;14Description based upon print version of record.3-11-025041-1 Includes bibliographical references and index.Front matter --Preface --Contents --Chapter 1. Preliminaries --Chapter 2. Spaces of smooth functions --Chapter 3. Lebesgue spaces --Chapter 4. Orlicz spaces --Chapter 5. Morrey and Campanato spaces --Chapter 6. Banach function spaces --Chapter 7. Rearrangement-invariant spaces --Chapter 8. Lorentz spaces --Chapter 9. Generalized Lorentz-Zygmund spaces --Chapter 10. Classical Lorentz spaces --Chapter 11. Variable-exponent Lebesgue spaces --Bibliography --IndexThis is the first part of the second revised and extended edition of the well established book "Function Spaces" by Alois Kufner, Oldřich John, and Svatopluk Fučík. Like the first edition this monograph 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 in their research or lecture courses. This first volume is devoted to the study of function spaces, based on intrinsic properties of a function such as its size, continuity, smoothness, various forms of a control over the mean oscillation, and so on. The second volume will be dedicated to the study of function spaces of Sobolev type, in which the key notion is the weak derivative of a function of several variables.De Gruyter Series in Nonlinear Analysis and ApplicationsIdeal spacesSobolev spacesFunction spacesElectronic books.Ideal spaces.Sobolev spaces.Function spaces.515.7Pick Luboš1052752Fucík SvatoplukJohn OldřichKufner AloisMiAaPQMiAaPQMiAaPQBOOK9910463329503321Function spaces2484195UNINA