LEADER 03424nam 2200721 a 450 001 9910786126103321 005 20230803025516.0 010 $a3-11-025042-X 024 7 $a10.1515/9783110250428 035 $a(CKB)2670000000338004 035 $a(EBL)894068 035 $a(OCoLC)829462188 035 $a(SSID)ssj0000833263 035 $a(PQKBManifestationID)11462175 035 $a(PQKBTitleCode)TC0000833263 035 $a(PQKBWorkID)10935586 035 $a(PQKB)10852183 035 $a(MiAaPQ)EBC894068 035 $a(DE-B1597)123220 035 $a(OCoLC)979761962 035 $a(OCoLC)984651116 035 $a(OCoLC)987921645 035 $a(OCoLC)992471832 035 $a(OCoLC)999372826 035 $a(DE-B1597)9783110250428 035 $a(Au-PeEL)EBL894068 035 $a(CaPaEBR)ebr10661461 035 $a(EXLCZ)992670000000338004 100 $a20130307d2013 uy 0 101 0 $aeng 135 $aurcn||||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aFunction spaces$b[electronic resource] $hVolume 1 /$fLubos? Pick ... [et al.] 205 $a2nd rev. and extended ed. 210 $aBerlin $cDe Gruyter$d2013 215 $a1 online resource (495 p.) 225 0 $aDe Gruyter series in nonlinear analysis and applications,$x0941-813X ;$v14 300 $aDescription based upon print version of record. 311 0 $a3-11-025041-1 320 $aIncludes bibliographical references and index. 327 $tFront matter --$tPreface --$tContents --$tChapter 1. Preliminaries --$tChapter 2. Spaces of smooth functions --$tChapter 3. Lebesgue spaces --$tChapter 4. Orlicz spaces --$tChapter 5. Morrey and Campanato spaces --$tChapter 6. Banach function spaces --$tChapter 7. Rearrangement-invariant spaces --$tChapter 8. Lorentz spaces --$tChapter 9. Generalized Lorentz-Zygmund spaces --$tChapter 10. Classical Lorentz spaces --$tChapter 11. Variable-exponent Lebesgue spaces --$tBibliography --$tIndex 330 $aThis is the first part of the second revised and extended edition of the well established book "Function Spaces" by Alois Kufner, Old?ich John, and Svatopluk Fu?ík. Like the first edition this monograph is an introduction to function spaces defined in terms of differentiability and integrability classes. It provides a catalogue of various spaces and benefits as a handbook for those who use function spaces in their research or lecture courses. This first volume is devoted to the study of function spaces, based on intrinsic properties of a function such as its size, continuity, smoothness, various forms of a control over the mean oscillation, and so on. The second volume will be dedicated to the study of function spaces of Sobolev type, in which the key notion is the weak derivative of a function of several variables. 410 3$aDe Gruyter Series in Nonlinear Analysis and Applications 606 $aIdeal spaces 606 $aSobolev spaces 606 $aFunction spaces 615 0$aIdeal spaces. 615 0$aSobolev spaces. 615 0$aFunction spaces. 676 $a515.7 700 $aPick$b Lubos?$01559910 702 $aFucík$b Svatopluk 702 $aJohn$b Old?ich 702 $aKufner$b Alois 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910786126103321 996 $aFunction spaces$93825481 997 $aUNINA