|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910812438403321 |
|
|
Autore |
Dindoš Martin |
|
|
Titolo |
Hardy spaces and potential theory on C[superscript 1] domains in Riemannian manifolds / / Martin Dindoš |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Providence, Rhode Island : , : American Mathematical Society, , [2008] |
|
©2008 |
|
|
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Descrizione fisica |
|
1 online resource (92 p.) |
|
|
|
|
|
|
Collana |
|
Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 894 |
|
|
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Hardy spaces |
Riemannian manifolds |
Potential theory (Mathematics) |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Note generali |
|
"Volume 191, number 894 (fourth of 5 numbers)." |
|
|
|
|
|
|
Nota di bibliografia |
|
Includes bibliographical references (pages 77-78). |
|
|
|
|
|
|
Nota di contenuto |
|
""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"" |
|
|
|
|
|
|
|