02713nam 2200577 450 991048097960332120180613001308.01-4704-0500-8(CKB)3360000000465078(EBL)3114100(SSID)ssj0000888969(PQKBManifestationID)11480051(PQKBTitleCode)TC0000888969(PQKBWorkID)10867700(PQKB)11025848(MiAaPQ)EBC3114100(PPN)195417836(EXLCZ)99336000000046507820070912h20082008 uy| 0engur|n|---|||||txtccrHardy spaces and potential theory on C[superscript 1] domains in Riemannian manifolds /Martin DindošProvidence, Rhode Island :American Mathematical Society,[2008]©20081 online resource (92 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 894"Volume 191, number 894 (fourth of 5 numbers)."0-8218-4043-6 Includes bibliographical references (pages 77-78).""Contents""; ""Abstract""; ""Chapter 0. Introduction""; ""Chapter 1. Background and Definitions""; ""Â1.1. Notation, terminology and known results""; ""Â1.2. Hardy spaces and layer potentials""; ""Chapter 2. The Boundary Layer Potentials""; ""Â2.1. Compactness of operators K, K*""; ""Â2.2. Invertibility of ±1/2+ K, ±1/2 + K*""; ""Chapter 3. The Dirichlet problem""; ""Â3.1. L[sup(p)] boundary data""; ""Â3.2. Hardy space boundary data""; ""Â3.3. Holder space boundary data""; ""Chapter 4. The Neumann problem""; ""Â4.1. L[sup(p)] boundary data""; ""Â4.2. Hardy space boundary data""""Â6.3. The main step""""Â6.4. The equivalence theorem on C[sup(1)] domains""; ""Â6.5. The equivalence theorem on Lipschitz domains""; ""Appendix A. Variable Coefficient Cauchy Integrals""; ""Appendix B. One Result on the Maximal Operator""; ""Bibliography""Memoirs of the American Mathematical Society ;no. 894.Hardy spacesRiemannian manifoldsPotential theory (Mathematics)Electronic books.Hardy spaces.Riemannian manifolds.Potential theory (Mathematics)515/.2433Dindoš Martin940174MiAaPQMiAaPQMiAaPQBOOK9910480979603321Hardy spaces and potential theory on C domains in Riemannian manifolds2119989UNINA