LEADER 03892nam 22005655 450 001 9910254076003321 005 20220415201537.0 010 $a3-319-21015-7 024 7 $a10.1007/978-3-319-21015-5 035 $a(CKB)3710000000667102 035 $a(DE-He213)978-3-319-21015-5 035 $a(MiAaPQ)EBC4526847 035 $a(PPN)194076679 035 $a(EXLCZ)993710000000667102 100 $a20160511d2016 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aIntegral operators in non-standard function spaces $evolume 1: variable exponent Lebesgue and amalgam spaces /$fby Vakhtang Kokilashvili, Alexander Meskhi, Humberto Rafeiro, Stefan Samko 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2016. 215 $a1 online resource (XX, 567 p.) 225 1 $aOperator Theory: Advances and Applications,$x0255-0156 ;$v248 311 $a3-319-21014-9 320 $aIncludes bibliographical references and indexes. 327 $aPreface -- I: Variable Exponent Lebesgue and Amalgam spaces -- 1 Hardy Type Operators -- 2 Oscillating weights -- 3 Kernel Integral Operators -- 4 Two-Weight Estimates -- 5 One-sided Operators -- 6 Two-weight Inequalities for Fractional Maximal Functions -- 7 Hypersingular Integrals -- 8 Description of the Range of Potentials 213 -- 9 More on Compactness -- 10 Applications to Singular Integral Equations -- II: Hölder Spaces of Variable Order -- 11 Variable Order Hölder Spaces -- III: Variable Exponent Morrey-Campanato and Herz Spaces -- 12 Morrey Type Spaces; Constant Exponents -- 13 Morrey Type Spaces; Variable Exponents -- Bibliography -- Symbol Index -- Subject Index. 330 $aThis book, the result of the authors' long and fruitful collaboration, focuses on integral operators in new, non-standard function spaces and presents a systematic study of the boundedness and compactness properties of basic, harmonic analysis integral operators in the following function spaces, among others: variable exponent Lebesgue and amalgam spaces, variable Hölder spaces, variable exponent Campanato, Morrey and Herz spaces, Iwaniec-Sbordone (grand Lebesgue) spaces, grand variable exponent Lebesgue spaces unifying the two spaces mentioned above, grand Morrey spaces, generalized grand Morrey spaces, and weighted analogues of some of them. The results obtained are widely applied to non-linear PDEs, singular integrals and PDO theory. One of the book's most distinctive features is that the majority of the statements proved here are in the form of criteria. The book is intended for a broad audience, ranging from researchers in the area to experts in applied mathematics and prospective students. 410 0$aOperator Theory: Advances and Applications,$x0255-0156 ;$v248 606 $aOperator theory 606 $aFunctional analysis 606 $aOperator Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12139 606 $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066 615 0$aOperator theory. 615 0$aFunctional analysis. 615 14$aOperator Theory. 615 24$aFunctional Analysis. 676 $a510 700 $aKokilashvili$b Vakhtang$4aut$4http://id.loc.gov/vocabulary/relators/aut$060040 702 $aMeskhi$b Alexander$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aRafeiro$b Humberto$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aSamko$b Stefan$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254076003321 996 $aIntegral Operators in Non-Standard Function Spaces$91983098 997 $aUNINA